English

Instability of scale-free networks under node-breaking avalanches

Statistical Mechanics 2016-08-16 v2

Abstract

The instability introduced in a large scale-free network by the triggering of node-breaking avalanches is analyzed using the fiber-bundle model as conceptual framework. We found, by measuring the size of the giant component, the avalanche size distribution and other quantities, the existence of an abrupt transition. This test of strength for complex networks like Internet is more stringent than others recently considered like the random removal of nodes, analyzed within the framework of percolation theory. Finally, we discuss the possible implications of our results and their relevance in forecasting cascading failures in scale-free networks.

Keywords

Cite

@article{arxiv.cond-mat/0106136,
  title  = {Instability of scale-free networks under node-breaking avalanches},
  author = {Y. Moreno and J. B. Gómez and A. F. Pacheco},
  journal= {arXiv preprint arXiv:cond-mat/0106136},
  year   = {2016}
}

Comments

4 pages, 4 figures, final version to be published in Europhys. Lett

R2 v1 2026-07-22T10:22:40.797Z