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Network overload due to massive attacks
Yosef Kornbluth1,2, Gilad Barach1, Yaakov Tuchman1
1Department of Physics, Yeshiva University, 500 West 185th Street, New York, New York 10033, USA.
Abstract:
We study the cascading failure of networks due to overload, using the betweenness centrality of a node as the measure of its load following the Motter and Lai model. We study the fraction of survived nodes at the end of the cascade p_{f} as a function of the strength of the initial attack, measured by the fraction of nodes p that survive the initial attack for different values of tolerance α in random regular and Erdös-Renyi graphs. We find the existence of a first-order phase-transition line p_{t}(α) on a p-α plane, such that if p
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