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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

It has been known that heterogeneous networks are vulnerable to the intentional removal of a small fraction of highly connected or loaded nodes, which implies that, to protect a network effectively, a few important nodes should be allocated…

Networking and Internet Architecture · Computer Science 2009-11-13 Xingang Wang , Shuguang Guan , Choy Heng Lai

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

We study the vulnerability of dominating sets against random and targeted node removals in complex networks. While small, cost-efficient dominating sets play a significant role in controllability and observability of these networks, a fixed…

Physics and Society · Physics 2015-06-12 F. Molnar , N. Derzsy , B. K. Szymanski , G. Korniss

We address the general problem of how best to attack and destroy a network by node removal, given limited or no prior information about the edges. We consider a family of strategies in which nodes are randomly chosen, but not removed.…

Physics and Society · Physics 2014-11-11 T. M. Vieira , G. M. Viswanathan , L. R. da Silva

In the multidisciplinary field of Network Science, optimization of procedures for efficiently breaking complex networks is attracting much attention from practical points of view. In this contribution we present a module-based method to…

Physics and Society · Physics 2019-10-02 Bruno Requião da Cunha , Juan Carlos González-Avella , Sebastián Gonçalves

We study the response of complex networks subject to attacks on vertices and edges. Several existing complex network models as well as real-world networks of scientific collaborations and Internet traffic are numerically investigated, and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Petter Holme , Beom Jun Kim , Chang No Yoon , Seung Kee Han

Only when understanding hackers' tactics, can we thwart their attacks. With this spirit, this paper studies how hackers can effectively launch the so-called 'targeted node attacks', in which iterative attacks are staged on a network, and in…

Networking and Internet Architecture · Computer Science 2022-11-18 Balume Mburano , Weisheng Si , Qing Cao , Wei Xing Zheng

Recently, it was found by Schneider et al. [Proc. Natl. Acad. Sci. USA, 108, 3838 (2011)], using simulations, that scale-free networks with "onion structure" are very robust against targeted high degree attacks. The onion structure is a…

Physics and Society · Physics 2012-04-27 Toshihiro Tanizawa , Shlomo Havlin , H. Eugene Stanley

We investigated the efficiency of attack strategies to network nodes when targeting several complex model and real-world networks. We tested 5 attack strategies, 3 of which were introduced in this work for the first time, to attack 3 model…

Physics and Society · Physics 2015-06-18 Michele Bellingeri , Davide Cassi , Simone Vincenzi

An important problem in networked systems is detection and removal of suspected malicious nodes. A crucial consideration in such settings is the uncertainty endemic in detection, coupled with considerations of network connectivity, which…

Machine Learning · Computer Science 2019-02-01 Sixie Yu , Yevgeniy Vorobeychik

All possible removals of $n=5$ nodes from networks of size $N=100$ are performed in order to find the optimal set of nodes which fragments the original network into the smallest largest connected component. The resulting attacks are ordered…

Physics and Society · Physics 2018-10-16 Carolina de Abreu , Bruno Requião da Cunha , Sebastián Gonçalves

It is a mainstream idea that scale-free network would be fragile under the selective attacks. Internet is a typical scale-free network in the real world, but it never collapses under the selective attacks of computer viruses and hackers.…

Physics and Society · Physics 2012-10-09 Bojin Zheng , Dan Huang , Deyi Li , Guisheng Chen , Wenfei Lan

Mutually connected components (MCCs) play an important role as a measure of resilience in the study of interdependent networks. Despite their importance, an efficient algorithm to obtain the statistics of all MCCs during the removal of…

Statistical Mechanics · Physics 2015-02-25 S. Hwang , S. Choi , Deokjae Lee , B. Kahng

Interconnected networks have been shown to be much more vulnerable to random and targeted failures than isolated ones, raising several interesting questions regarding the identification and mitigation of their risk. The paradigm to address…

Computational Physics · Physics 2014-10-01 Christian M. Schneider , Nuno A. M. Araújo , Hans J. Herrmann

Finding an optimal subset of nodes or links to disintegrate harmful networks is a fundamental problem in network science, with potential applications to anti-terrorism, epidemic control, and many other fields of study. The challenge of the…

Social and Information Networks · Computer Science 2022-08-29 Zhigang Wang , Ye Deng , Petter Holme , Zengru Di , Linyuan Lv , Jun Wu

The process of destroying a complex network through node removal has been the subject of extensive interest and research. Node loss typically leaves the network disintegrated into many small and isolated clusters. Here we show that these…

Physics and Society · Physics 2015-11-23 Lazaros K. Gallos , Nina H. Fefferman

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

The goal of this note is to assess whether simple machine learning algorithms can be used to determine whether and how a given network has been attacked. The procedure is based on the $k$-Nearest Neighbor and the Random Forest…

Physics and Society · Physics 2023-08-30 Davide Coppes , Paolo Cermelli

We study the robustness of complex networks to multiple waves of simultaneous (i) targeted attacks in which the highest degree nodes are removed and (ii) random attacks (or failures) in which fractions $p_t$ and $p_r$ respectively of the…

Statistical Mechanics · Physics 2016-08-31 T. Tanizawa , G. Paul , R. Cohen , S. Havlin , H. E. Stanley
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