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The increasing complexity and interdependency of today's networks highlight the importance of studying network robustness to failure and attacks. Many large-scale networks are prone to cascading effects where a limited number of initial…

Social and Information Networks · Computer Science 2016-07-27 Khashayar Kamran , Edmund Yeh

Cascading failures are a critical vulnerability of complex information or infrastructure networks. Here we investigate the properties of load-based cascading failures in real and synthetic spatially-embedded network structures, and propose…

Physics and Society · Physics 2017-09-21 Alaa Moussawi , Noemi Derzsy , Xin Lin , Boleslaw K. Szymanski , Gyorgy Korniss

In complex networks, the failure of one or very few nodes may cause cascading failures. When this dynamical process stops in steady state, the size of the giant component formed by remaining un-failed nodes can be used to measure the…

Social and Information Networks · Computer Science 2015-06-30 Junbiao Liu , Xinyu Jin , Lurong Jiang , Yongxiang Xia , Bo Ouyang , Fang Dong , Yicong Lang , Wenping Zhang

Integrated cyber-physical systems (CPSs), such as the smart grid, are increasingly becoming the underpinning technology for major industries. A major concern regarding such systems are the seemingly unexpected large-scale failures, which…

Physics and Society · Physics 2018-07-27 Yingrui Zhang , Osman Yagan

Cascading failures constitute an important vulnerability of interconnected systems. Here we focus on the study of such failures on networks in which the connectivity of nodes is constrained by geographical distance. Specifically, we use…

Physics and Society · Physics 2014-01-08 Andrea Asztalos , Sameet Sreenivasan , Boleslaw K. Szymanski , Gyorgy Korniss

Cascading failure is a potentially devastating process that spreads on real-world complex networks and can impact the integrity of wide-ranging infrastructures, natural systems, and societal cohesiveness. One of the essential features that…

How big is the risk that a few initial failures of nodes in a network amplify to large cascades that span a substantial share of all nodes? Predicting the final cascade size is critical to ensure the functioning of a system as a whole. Yet,…

Physics and Society · Physics 2018-02-12 Rebekka Burkholz , Hans J. Herrmann , Frank Schweitzer

We study how large functional networks can grow stably under possible cascading overload failures and evaluated the maximum stable network size above which even a small-scale failure would cause a fatal breakdown of the network. Employing a…

Physics and Society · Physics 2017-11-01 Shogo Mizutaka , Kousuke Yakubo

One of the main issues in modern network science is the phenomenon of cascading failures of a small number of attacks. Here we define the dimension of a network to be the maximal number of functions or features of nodes of the network. It…

Social and Information Networks · Computer Science 2013-11-01 Angsheng Li , Wei Zhang , Yicheng Pan

This paper focuses on cascading line failures in the transmission system of the power grid. Recent large-scale power outages demonstrated the limitations of percolation- and epid- emic-based tools in modeling cascades. Hence, we study…

Systems and Control · Computer Science 2014-02-11 Saleh Soltan , Dorian Mazauric , Gil Zussman

Cascading failure as a systematic risk occurs in a wide range of real-world networks. Cascade size distribution is a basic and crucial characteristic of systemic cascade behaviors. Recent research works have revealed that the distribution…

Physics and Society · Physics 2023-03-08 Chongxin Zhong , Yanmeng Xing , Ying Fan , An Zeng

Inspired by reliability issues in electric transmission networks, we use a probabilistic approach to study the occurrence of large failures in a stylized cascading failure model. In this model, lines have random capacities that initially…

Probability · Mathematics 2016-04-14 F. Sloothaak , S. C. Borst , A. P. Zwart

We model smart grids as complex interdependent networks, and study targeted attacks on smart grids for the first time. A smart grid consists of two networks: the power network and the communication network, interconnected by edges.…

Social and Information Networks · Computer Science 2015-02-19 Sushmita Ruj , Arindam Pal

We introduce a general framework for models of cascade and contagion processes on networks, to identify their commonalities and differences. In particular, models of social and financial cascades, as well as the fiber bundle model, the…

Risk Management · Quantitative Finance 2015-05-13 Jan Lorenz , Stefano Battiston , Frank Schweitzer

Our society nowadays is governed by complex networks, examples being the power grids, telecommunication networks, biological networks, and social networks. It has become of paramount importance to understand and characterize the dynamic…

Cascading failures, wherein the failure of one component triggers subsequent failures in complex interconnected systems, pose a significant risk of disruptions and emerge across various domains. Understanding and mitigating the risk of such…

Probability · Mathematics 2024-03-19 Agnieszka Janicka , Fiona Sloothaak , Maria Vlasiou

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…

Physics and Society · Physics 2014-03-26 Yosef Kornbluth , Steven Lowinger , Gabriel Cwilich , Sergey V. Buldyrev

External or internal shocks may lead to the collapse of a system consisting of many agents. If the shock hits only one agent initially and causes it to fail, this can induce a cascade of failures among neighoring agents. Several critical…

Risk Management · Quantitative Finance 2015-06-11 Claudio J. Tessone , Antonios Garas , Beniamino Guerra , Frank Schweitzer

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…

Physics and Society · Physics 2018-05-30 Yosef Kornbluth , Gilad Barach , Mark Tuchman , Benjamin Kadish , Gabriel Cwilich , Sergey V. Buldyrev

We present a framework to calculate the cascade size evolution for a large class of cascade models on random network ensembles in the limit of infinite network size. Our method is exact and applies to network ensembles with almost arbitrary…

Physics and Society · Physics 2018-04-25 Rebekka Burkholz , Frank Schweitzer
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