Power-law Strength-Degree Correlation From a Resource-Allocation Dynamics on Weighted Networks

Details Power-law Strength-Degree Correlation From a Resource-Allocation Dynamics on Weighted Networks Power-law Strength-Degree Correlation From a Resource-Allocation Dynamics on Weighted Networks

2006-03-10

arxiv.org/abs/physics/0603081v2

Phys. Rev. E 75, 021102(2007)

Physics

Physics and Society

6 pages, and 8 figures

Scientific paper

10.1103/PhysRevE.75.021102

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 explicated. We investigate the dynamic behaviors of resource/traffic flow on scale-free networks. The dynamical system will evolve to 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 with simulations well.

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