Volume 58, Number 4, May 2002
|Page(s)||630 - 636|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||01 May 2002|
Instability of scale-free networks under node-breaking avalanches
The Abdus Salam International Centre for
Theoretical Physics Condensed Matter Group - P.O. Box
586, Trieste, I-34014, Italy
2 Facultad de Ciencias, Universidad de Zaragoza - 50009 Zaragoza, Spain
Corresponding author: email@example.com
Accepted: 26 February 2002
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.
PACS: 89.75.-k – Complex systems / 05.70.Jk – Critical point phenomena / 89.75.Fb – Structures and organization in complex systems
© EDP Sciences, 2002
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