Scaling in complex systems: a link between the dynamics of networks and growing interfaces

@inproceedings{Br2014ScalingIC,
  title={Scaling in complex systems: a link between the dynamics of networks and growing interfaces},
  author={A. Br{\'u} and Elisa Al{\`o}s and Juan Carlos Nu{\~n}o and M. Fern{\'a}ndez de Dios},
  booktitle={Scientific reports},
  year={2014}
}
We consider growing interfaces as dynamical networks whose nodes are the discrete points of the interface and the edges the physical interactions among them. We map the points of the interface formed at each time into a graph by means of a visibility algorithm. As the corresponding interfaces grow, their visibility graphs change over time. We show that the visibility graphs are all scale free for each time. We use the variance of the node degrees as a measure of the dynamical properties of… CONTINUE READING

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The authors declare no competing financial interests

S. N. Dorogovtsev, A. V. Goltsev, +8 authors M.F.D. performed the simulations. Additional information interests
  • How to cite this article: Brú, A., Alós, E., Nuño, J.C. & de Dios, M.F. Scaling in complex systems: a link between the dynamics of networks and growing interfaces. Sci. Rep. 4, 7550; DOI:10.1038/srep07550
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