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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

Strengthening or destroying a network is a very important issue in designing resilient networks or in planning attacks against networks including planning strategies to immunize a network against diseases, viruses etc.. Here we develop a…

Physics and Society · Physics 2017-05-30 Amikam Patron , Reuven Cohen , Daqing Li , Shlomo Havlin

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

A fundamental challenge in networked systems is detection and removal of suspected malicious nodes. In reality, detection is always imperfect, and the decision about which potentially malicious nodes to remove must trade off false positives…

Social and Information Networks · Computer Science 2022-04-05 Sixie Yu , Yevgeniy Vorobeychik

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 dismantling is a relevant research area in network science, gathering attention both from a theoretical and an operational point of view. Here, we propose a general framework for dismantling that prioritizes the removal of nodes…

Physics and Society · Physics 2022-09-29 Federico Musciotto , Salvatore Micciché

In this work, we consider two types of adversarial attacks on a network of nodes seeking to reach consensus. The first type involves an adversary that is capable of breaking a specific number of links at each time instant. In the second…

Optimization and Control · Mathematics 2013-03-12 Ali Khanafer , Behrouz Touri , Tamer Başar

We address the problem of allocating limited resources in a network under persistent yet statistically unknown adversarial attacks. Each node in the network may be degraded, but not fully disabled, depending on its available defensive…

Data Structures and Algorithms · Computer Science 2025-07-01 Mansoor Davoodi , Setareh Maghsudi

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

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

Finding the set of nodes, which removed or (de)activated can stop the spread of (dis)information, contain an epidemic or disrupt the functioning of a corrupt/criminal organization is still one of the key challenges in network science. In…

Social and Information Networks · Computer Science 2019-03-26 Xiao-Long Ren , Niels Gleinig , Dirk Helbing , Nino Antulov-Fantulin

The problem of worst case edge deletion from a network is considered. Suppose that you have a communication network and you can delete a single edge. Which edge deletion causes the largest disruption? More formally, given a graph, which…

Data Structures and Algorithms · Computer Science 2022-02-17 Max Ward , Amitava Datta , Hung X. Nguyen , Jason Eshraghian

Finding a set of nodes in a network, whose removal fragments the network below some target size at minimal cost is called network dismantling problem and it belongs to the NP-hard computational class. In this paper, we explore the…

Social and Information Networks · Computer Science 2019-09-20 Xiao-Long Ren , Nino Antulov-Fantulin

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

Network dismantling is to identify a minimal set of nodes whose removal breaks the network into small components of subextensive size. Because finding the optimal set of nodes is an NP-hard problem, several heuristic algorithms have been…

Physics and Society · Physics 2018-08-01 Yoon Seok Im , B. Kahng

We consider optimal attacks or immunization schemes on different models of random graphs. We derive bounds for the minimum number of nodes needed to be removed from a network such that all remaining components are fragments of negligible…

Physics and Society · Physics 2019-12-10 Nicole Balashov , Reuven Cohen , Avieli Haber , Michael Krivelevich , Simi Haber

The robustness of complex networks under targeted attacks is deeply connected to the resilience of complex systems, i.e., the ability to make appropriate responses to the attacks. In this article, we investigated the state-of-the-art…

Social and Information Networks · Computer Science 2018-01-19 Xiao-Long Ren , Niels Gleinig , Dijana Tolic , Nino Antulov-Fantulin

We propose and study a set of algorithms for discovering community structure in networks -- natural divisions of network nodes into densely connected subgroups. Our algorithms all share two definitive features: first, they involve iterative…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman , M. Girvan

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

The traditional approach to network robustness, is based on comparing network parameters before and after an event of nodes removal, such as the change in network diameter, the change in giant component size and the existence of giant…

Physics and Society · Physics 2018-12-27 Amikam Patron , Reuven Cohen
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