An analytical approach to cascades on random networks

James P. Gleeson; Diarmuid J. Cahalane

doi:10.1117/12.724525

15 June 2007 An analytical approach to cascades on random networks

James P. Gleeson, Diarmuid J. Cahalane

Proceedings Volume 6601, Noise and Stochastics in Complex Systems and Finance; 66010W (2007) https://doi.org/10.1117/12.724525
Event: SPIE Fourth International Symposium on Fluctuations and Noise, 2007, Florence, Italy

Abstract

The expected steady-state fraction of active nodes in Watts' model of threshold dynamics on random networks is determined analytically. The analysis applies to random graphs with arbitrary degree distributions, and includes the effect of finite seed fractions. The seed fraction is shown to have a strong impact upon the existence of global cascades and Watts' cascade condition is extended to include these effects.

Citation Download Citation

James P. Gleeson and Diarmuid J. Cahalane "An analytical approach to cascades on random networks", Proc. SPIE 6601, Noise and Stochastics in Complex Systems and Finance, 66010W (15 June 2007); https://doi.org/10.1117/12.724525

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