Universal robustness characteristic of weighted networks against cascading failure
Top Cited Papers
- 1 February 2008
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 77 (2), 026101
- https://doi.org/10.1103/physreve.77.026101
Abstract
We investigate the cascading failure on weighted complex networks by adopting a local weighted flow redistribution rule, where the weight of an edge is with and being the degrees of the nodes connected by the edge. Assume that a failed edge leads only to a redistribution of the flow passing through it to its neighboring edges. We found that the weighted complex network reaches the strongest robustness level when the weight parameter , where the robustness is quantified by a transition from normal state to collapse. We determined that this is a universal phenomenon for all typical network models, such as small-world and scale-free networks. We then confirm by theoretical predictions this universal robustness characteristic observed in simulations. We furthermore explore the statistical characteristics of the avalanche size of a network, thus obtaining a power-law avalanche size distribution together with a tunable exponent by varying . Our findings have great generality for characterizing cascading-failure-induced disasters in nature.
Keywords
This publication has 40 references indexed in Scilit:
- Complex networks: Structure and dynamicsPhysics Reports, 2006
- Stability and Topology of Scale-Free Networks under Attack and Defense StrategiesPhysical Review Letters, 2005
- The Structure and Function of Complex NetworksSIAM Review, 2003
- Vertex overload breakdown in evolving networksPhysical Review E, 2002
- Evolution of networksAdvances in Physics, 2002
- Statistical mechanics of complex networksReviews of Modern Physics, 2002
- Comment on “Breakdown of the Internet under Intentional Attack”Physical Review Letters, 2001
- Network Robustness and Fragility: Percolation on Random GraphsPhysical Review Letters, 2000
- Resilience of the Internet to Random BreakdownsPhysical Review Letters, 2000
- Error and attack tolerance of complex networksNature, 2000