Accuracy of mean-field theory for dynamics on real-world networks.

@article{Gleeson2012AccuracyOM,
  title={Accuracy of mean-field theory for dynamics on real-world networks.},
  author={James P. Gleeson and Sergey Melnik and Jonathan Ward and Mason A. Porter and Peter J. Mucha},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={85 2 Pt 2},
  pages={026106}
}
Mean-field analysis is an important tool for understanding dynamics on complex networks. However, surprisingly little attention has been paid to the question of whether mean-field predictions are accurate, and this is particularly true for real-world networks with clustering and modular structure. In this paper, we compare mean-field predictions to numerical simulation results for dynamical processes running on 21 real-world networks and demonstrate that the accuracy of such theory depends not… CONTINUE READING
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