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A common definition of a robust connection between two nodes in a network such as a communication network is that there should be at least two independent paths connecting them, so that the failure of no single node in the network causes…

Statistical Mechanics · Physics 2008-04-07 M. E. J. Newman , Gourab Ghoshal

Much of our commerce and traveling depend on the efficient operation of large scale networks. Some of those, such as electric power grids, transportation systems, communication networks, and others, must maintain their efficiency even after…

Physics and Society · Physics 2015-03-26 Vitor H. P. Louzada , Fabio Daolio , Hans J. Herrmann , Marco Tomassini

It has been found that the networks with scale-free distribution are very resilient to random failures. The purpose of this work is to determine the network design guideline which maximize the network robustness to random failures with the…

Statistical Mechanics · Physics 2009-11-11 Jian-Guo Liu , Zhong-Tuo Wang , Yan-Zhong Dang

This paper deals with the detection and prediction of losses due to cyber attacks waged on vital networks. The accumulation of losses to a network during a series of attacks is modeled by a 2-dimensional monotone random walk process as…

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

It is commonly believed that scale-free networks are robust to massive numbers of random node deletions. For example, Cohen et al. study scale-free networks including some which approximate the measured degree distribution of the Internet.…

Networking and Internet Architecture · Computer Science 2007-05-23 Hamilton Link , Randall A. LaViolette , Jared Saia , Terran Lane

We propose an interdependent random geometric graph (RGG) model for interdependent networks. Based on this model, we study the robustness of two interdependent spatially embedded networks where interdependence exists between geographically…

Social and Information Networks · Computer Science 2018-06-08 Jianan Zhang , Edmund Yeh , Eytan Modiano

Recent network research has focused on the cascading failures in a system of interdependent networks and the necessary preconditions for system collapse. An important question that has not been addressed is how to repair a failing system…

Physics and Society · Physics 2016-01-27 M. A. Di Muro , C. E. La Rocca , H. E. Stanley , S. Havlin , L. A. Braunstein

In many cases of attacks or failures, memory effects play a significant role. Therefore, we present a model that not only considers the dependencies between nodes but also incorporates the memory effects of attacks. Our research…

Physics and Society · Physics 2023-06-21 Yanpeng Zhu , Lei Chen , Fanyuan Meng , Chun-Xiao Jia , Run-Ran Liu

Network controllability robustness reflects how well a networked dynamical system can maintain its controllability against destructive attacks. This paper investigates the network controllability robustness from the perspective of a…

Physics and Society · Physics 2021-03-09 Yang Lou , Lin Wang , Guanrong Chen

In a recent work [Proc. Natl. Acad. Sci. USA 108, 3838 (2011)], the authors proposed a simple measure for network robustness under malicious attacks on nodes. With a greedy algorithm, they found the optimal structure with respect to this…

Physics and Society · Physics 2012-06-28 An Zeng , Weiping Liu

We consider robustness and percolation properties of the networks of networks, in which random nodes in different individual networks (layers) can be interdependent. We explore the emergence of the giant mutually connected component,…

Disordered Systems and Neural Networks · Physics 2014-11-18 Ginestra Bianconi , Sergey N. Dorogovtsev

We study a system composed from two interdependent networks A and B, where a fraction of the nodes in network A depends on the nodes of network B and a fraction of the nodes in network B depends on the nodes of network A. Due to the…

Data Analysis, Statistics and Probability · Physics 2015-05-18 Roni Parshani , Sergey V. Buldyrev , Shlomo Havlin

The capacity to resist attacks from the environment is crucial to the survival of all organisms. We quantitatively analyze the susceptibility of protein interaction networks of numerous organisms to random and malicious attacks. We find for…

Computational Physics · Physics 2010-10-19 Christian M. Schneider , Roberto F. S. Andrade , Troy Shinbrot , Hans J. Herrmann

The structure of real-world multilayer infrastructure systems usually exhibits anisotropy due to constraints of the embedding space. For example, geographical features like mountains, rivers and shores influence the architecture of critical…

Physics and Society · Physics 2021-11-17 Dana Vaknin , Amir Bashan , Lidia A. Braunstein , Sergey V. Buldyrev , Shlomo Havlin

Scale-free networks with small power law exponent are known to be robust, meaning that their qualitative topological structure cannot be altered by random removal of even a large proportion of nodes. By contrast, it has been argued in the…

Probability · Mathematics 2013-08-23 Maren Eckhoff , Peter Mörters

The behavior of complex networks under attack depends strongly on the specific attack scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure or attack but appear to be especially…

Physics and Society · Physics 2009-04-03 C. von Ferber , T. Holovatch , Yu. Holovatch

Targeted attacks against network infrastructure are notoriously difficult to guard against. In the case of communication networks, such attacks can leave users vulnerable to censorship and surveillance, even when cryptography is used. Much…

Cryptography and Security · Computer Science 2017-04-11 Edward L. Platt , Daniel M. Romero

Many systems such as critical infrastructure exhibit a modular structure with many links within the modules and few links between them. One approach to increase the robustness of these systems is to reinforce a fraction of the nodes in each…

Physics and Society · Physics 2022-05-11 Yael Kfir-Cohen , Dana Vaknin , Shlomo Havlin

Targeted immunization or attacks of large-scale networks has attracted significant attention by the scientific community. However, in real-world scenarios, knowledge and observations of the network may be limited thereby precluding a full…

We study the resilience of complex networks against attacks in which nodes are targeted intelligently, but where disabling a node has a cost to the attacker which depends on its degree. Attackers have to meet these costs with limited…

Physics and Society · Physics 2015-05-19 A Annibale , A C C Coolen , G Bianconi
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