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

Qing Ou·Ying-Di Jin·Tao Zhou·Bing-Hong Wang·Bao-Qun Yin
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Abstract

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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Qing Ou, Ying-Di Jin, Tao Zhou, Bing-Hong Wang, Bao-Qun Yin. 2006-10-16. Power-law Strength-Degree Correlation From a Resource-Allocation Dynamics on Weighted Networks. https://doi.org/10.1103/physreve.75.021102

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