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Physical Review E
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Physical Review E
Article . 2014 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2013
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Article . 2013
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Cascading failures in networks with proximate dependent nodes

Authors: Yosef Kornbluth; Steven Lowinger; Gabriel Cwilich; Sergey V. Buldyrev;

Cascading failures in networks with proximate dependent nodes

Abstract

We study the mutual percolation of a system composed of two interdependent random regular networks. We introduce a notion of distance to explore the effects of the proximity of interdependent nodes on the cascade of failures after an initial attack. We find a non-trivial relation between the nature of the transition through which the networks disintegrate and the parameters of the system, which are the degree of the nodes and the maximum distance between interdependent nodes. We explain this relation by solving the problem analytically for the relevant set of cases.

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Keywords

Social and Information Networks (cs.SI), FOS: Computer and information sciences, Physics - Physics and Society, Physics - Data Analysis, Statistics and Probability, FOS: Physical sciences, Computer Science - Social and Information Networks, Physics and Society (physics.soc-ph), Data Analysis, Statistics and Probability (physics.data-an)

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
bronze