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: firstname.lastname@example.org
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.