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Robustness of the avalanche dynamics in data packet transport on scale-free networks

E. J. Lee·K. -I. Goh·B. Kahng·D. Kim
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Abstract

We study the avalanche dynamics in the data packet transport on scale-free networks through a simple model. In the model, each vertex is assigned a capacity proportional to the load with a proportionality constant $1+a$. When the system is perturbed by a single vertex removal, the load of each vertex is redistributed, followed by subsequent failures of overloaded vertices. The avalanche size depends on the parameter $a$ as well as which vertex triggers it. We find that there exists a critical value $a_c$ at which the avalanche size distribution follows a power law. The critical exponent associated with it appears to be robust as long as the degree exponent is between 2 and 3, and is close in value to that of the distribution of the diameter changes by single vertex removal.

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E. J. Lee, K. -I. Goh, B. Kahng, D. Kim. 2006-01-11. Robustness of the avalanche dynamics in data packet transport on scale-free networks. https://doi.org/10.1103/physreve.71.056108

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