The combined effect of connectivity and dependency links on percolation of networks

DOI10.1007/S10955-011-0333-5zbMath1231.82027arXiv1106.1631OpenAlexW3102295892MaRDI QIDQ658422

Amir Bashan, Shlomo Havlin

Publication date: 12 January 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1631

zbMATH Keywords

networkspercolationcascade of failuresdependency links

Mathematics Subject Classification ID

Percolation (82B43)

Related Items (9)

Failure cascade in interdependent network with traffic loads ⋮ Explosive synchronization coexists with classical synchronization in the Kuramoto model ⋮ Cascading dynamics with local weighted flow redistribution in interdependent networks ⋮ The combined effect of connectivity and dependency links on percolation of networks ⋮ Resilience of networks formed of interdependent modular networks ⋮ Percolation on complex networks: theory and application ⋮ Minimal functional routes in directed graphs with dependent edges ⋮ Percolation of interdependent network of networks ⋮ Robustness on interdependent networks with a multiple-to-multiple dependent relationship

Cites Work

• The combined effect of connectivity and dependency links on percolation of networks
• Generalizations of the Hausdorff dimension of fractal measures.
• Morphogenesis of spatial networks
• Sharpness of the phase transition in percolation models
• Statistical mechanics of complex networks
• Emergence of Scaling in Random Networks
• Scale-Free Networks
• The Structure and Function of Complex Networks
• Collective dynamics of ‘small-world’ networks
• Networks
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