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Networked systems are susceptible to cascading failures, where the failure of an initial set of nodes propagates through the network, often leading to system-wide failures. In this work, we propose a multiplex flow network model to study…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Orkun İrsoy , Osman Yağan

Current network models assume one type of links to define the relations between the network entities. However, many real networks can only be correctly described using two different types of relations. Connectivity links that enable the…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Roni Parshani , Sergey V. Buldyrev , Shlomo Havlin

The collapse of interdependent networks, as well as similar avalanche phenomena, is driven by cascading failures. At the critical point, the cascade begins as a critical branching process, where each failing node (element) triggers, on…

Physics and Society · Physics 2025-04-10 Dolev Dilmoney , Bnaya Gross , Shlomo Havlin , Nadav M. Shnerb

Cascading failures and epidemic dynamics, as two successful application realms of network science, are usually investigated separately. How do they affect each other is still one open, interesting problem. In this letter, we couple both…

Social and Information Networks · Computer Science 2016-11-23 Dawei Zhao , Zhen Wang , Gaoxi Xiao , Bo Gao , Lianhai Wang

In recent times we hear increasingly often about cyber attacks on various commercial and strategic sites that manage to escape any defense. In this article, we model such attacks on networks via stochastic processes and predict the time of…

Probability · Mathematics 2019-01-23 Jewgeni H. Dshalalow , Ryan T. White

In the understanding of important edges in complex networks, the edges with larger degree are naturally considered more important, and they will cause greater destructiveness when attacked. However, through simulation analysis, we conclude…

Networking and Internet Architecture · Computer Science 2023-04-05 Peng Geng , Huizhen Hao , Annan Yang , Yan Liu

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…

It appeared recently that the underlying degree distribution of networks may play a crucial role concerning their robustness. Empiric and analytic results have been obtained, based on asymptotic and mean-field approximations. Previous work…

Statistical Mechanics · Physics 2009-08-24 Clemence Magnien , Matthieu Latapy , Jean-Loup Guillaume

In a system of interdependent networks, an initial failure of nodes invokes a cascade of iterative failures that may lead to a total collapse of the whole system in a form of an abrupt first order transition. When the fraction of initial…

Statistical Mechanics · Physics 2014-06-03 Dong Zhou , Amir Bashan , Reuven Cohen , Yehiel Berezin , Nadav Shnerb , Shlomo Havlin

Memory plays a vital role in the temporal evolution of interactions of complex systems. To address the impact of memory on the temporal pattern of networks, we propose a simple preferential connection model, in which nodes have a…

Physics and Society · Physics 2020-01-16 F. Rabbani , T. Khraisha , F. Abbasi , G. R. Jafari

There is a commonality among contagious diseases, tweets, urban crimes, nuclear reactions, and neuronal firings that past events facilitate the future occurrence of events. The spread of events has been extensively studied such that the…

Physics and Society · Physics 2016-09-16 Tomokatsu Onaga , Shigeru Shinomoto

It was recently recognized that interdependencies among different networks can play a crucial role in triggering cascading failures and hence system-wide disasters. A recent model shows how pairs of interdependent networks can exhibit an…

Physics and Society · Physics 2012-12-06 Di Zhou , Gregorio D'Agostino , Antonio Scala , H. Eugene Stanley

We study numerically the cascading failure problem by using artificially created scale-free networks and the real network structure of the power grid. The capacity for a vertex is assigned as a monotonically increasing function of the load…

Physics and Society · Physics 2016-09-08 Bing Wang , Beom Jun Kim

The topology of the network of load transmitting connections plays an essential role in the cascading failure dynamics of complex systems driven by the redistribution of load after local breakdown events. In particular, as the network…

Disordered Systems and Neural Networks · Physics 2023-11-21 G. Pál , Zs. Danku , A. Batool , V. Kádár , N. Yoshioka , N. Ito , G. Ódor , F. Kun

We study, both analytically and numerically, the cascade of failures in two coupled network systems A and B, where multiple support-dependent relations are randomly built between nodes of networks A and B. In our model we assume that each…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Jia Shao , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

We study the problem of wireless network resilience to node failures from a percolation-based perspective. In practical wireless networks, it is often the case that the failure probability of a node depends on its degree (number of…

Networking and Internet Architecture · Computer Science 2009-08-28 Zhenning Kong , Edmund M. Yeh

A bredge (bridge-edge) is an edge whose deletion would split the network component on which it resides into two components. Bredges are vulnerable links that play an important role in network collapse processes, which may result from node…

Disordered Systems and Neural Networks · Physics 2020-09-09 Haggai Bonneau , Ofer Biham , Reimer Kühn , Eytan Katzav

To enhance robustness of complex networked systems, a simple method is introducing reinforced nodes which always function during failure propagation. A random scheme of node reinforcement can be considered as a benchmark for finding an…

Physics and Society · Physics 2023-06-27 Rui Ma , Yanqing Hu , Jin-Hua Zhao

We study the detailed mechanism of the failure of scale-free networks under intentional attacks. Although it is generally accepted that such networks are very sensitive to targeted attacks, we show that for a particular type of structure…

Physics and Society · Physics 2009-11-13 Lazaros K. Gallos , Panos Argyrakis

Failure, damage spread and recovery crucially underlie many spatially embedded networked systems ranging from transportation structures to the human body. Here we study the interplay between spontaneous damage, induced failure and recovery…

Physics and Society · Physics 2017-10-23 Lucas Böttcher , Mirko Lukovic , Jan Nagler , Shlomo Havlin , Hans J. Herrmann