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Many critical infrastructure systems have network structure and are under stress. Despite their national importance, the complexity of large-scale transport networks means we do not fully understand their vulnerabilities to cascade…

Complex networks are a powerful modeling tool, allowing the study of countless real-world systems. They have been used in very different domains such as computer science, biology, sociology, management, etc. Authors have been trying to…

Social and Information Networks · Computer Science 2014-02-04 Burcu Kantarcı , Vincent Labatut

The vulnerability of networks to targeted attacks is an issue of widespread interest for policymakers, military strategists, network engineers and systems biologists alike. Current approaches to circumvent targeted attacks seek to increase…

Molecular Networks · Quantitative Biology 2021-09-28 Sai Saranga Das M , Karthik Raman

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

Populations and Evolution · Quantitative Biology 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

Power-law networks such as the Internet, terrorist cells, species relationships, and cellular metabolic interactions are susceptible to node failures, yet maintaining network connectivity is essential for network functionality.…

Physics and Society · Physics 2015-05-08 Sarah LaRocca , Seth Guikema

We investigate the robustness of random networks reinforced by adding hidden edges against targeted attacks. This study focuses on two types of reinforcement: uniform reinforcement, where edges are randomly added to all nodes, and selective…

Physics and Society · Physics 2024-07-30 Tomoyo Kawasumi , Takehisa Hasegawa

Many naturally occurring networks have a power-law degree distribution as well as a non-zero degree correlation. Despite this, most studies analyzing the robustness to random node-deletion and vulnerability to targeted node-deletion have…

Physics and Society · Physics 2017-02-17 Jeremy F. Alm , Keenan M. L. Mack

In a topological structure affected by geographical constraints on liking, the connectivity is weakened by constructing local stubs with small cycles, a something of randomness to bridge them is crucial for the robust network design. In…

Computational Physics · Physics 2009-11-13 Y. Hayashi , J. Matsukubo

Robustness to malicious attacks is crucial for practical decentralized signal processing and machine learning systems. A typical example of such attacks is label poisoning, meaning that some agents possess corrupted local labels and share…

Machine Learning · Computer Science 2026-01-07 Jie Peng , Weiyu Li , Stefan Vlaski , Qing Ling

The concept of network efficiency, recently proposed to characterize the properties of small-world networks, is here used to study the effects of errors and attacks on scale-free networks. Two different kinds of scale-free networks, i.e.…

Condensed Matter · Physics 2009-11-07 Paolo Crucitti , Vito Latora , Massimo Marchiori , Andrea Rapisarda

We model the robustness against random failure or intentional attack of networks with arbitrary large-scale structure. We construct a block-based model which incorporates --- in a general fashion --- both connectivity and interdependence…

Physics and Society · Physics 2012-09-25 Tiago P. Peixoto , Stefan Bornholdt

We study the robustness of complex networks subject to edge removal. Several network models and removing strategies are simulated. Rather than the existence of the giant component, we use total connectedness as the criterion of breakdown.…

Physics and Society · Physics 2009-11-13 Shan He , Sheng Li , Hongru Ma

The scale-fee networks, having connectivity distribution $P(k)\sim k^{-\alpha}$ (where $k$ is the site connectivity), is very resilient to random failures but fragile to intentional attack. The purpose of this paper is to find the network…

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

We study tolerance and topology of random scale-free networks under attack and defense strategies that depend on the degree k of the nodes. This situation occurs, for example, when the robustness of a node depends on its degree or in an…

Disordered Systems and Neural Networks · Physics 2009-11-11 Lazaros K. Gallos , Reuven Cohen , Panos Argyrakis , Armin Bunde , Shlomo Havlin

A new complex network model, called q-snapback network, is introduced. Basic topological characteristics of the network, such as degree distribution, average path length, clustering coefficient and Pearson correlation coefficient, are…

Systems and Control · Computer Science 2020-04-28 Yang Lou , Lin Wang , Guanrong Chen

When an initial failure of nodes occurs in interdependent networks, a cascade of failure between the networks occurs. Earlier studies focused on random initial failures. Here we study the robustness of interdependent networks under targeted…

Physics and Society · Physics 2011-07-22 Xuqing Huang , Jianxi Gao , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

Adversarial robustness has received increasing attention along with the study of adversarial examples. So far, existing works show that robust models not only obtain robustness against various adversarial attacks but also boost the…

Machine Learning · Computer Science 2021-11-29 Yang Bai , Xin Yan , Yong Jiang , Shu-Tao Xia , Yisen Wang

The existence of inter-dependence between multiple networks imparts an additional scale of complexity to such systems often referred to as `network of networks' (NON). We have investigated the robustness of NONs to random breakdown of their…

Physics and Society · Physics 2019-01-09 Aradhana Singh , Sitabhra Sinha

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

Given a connected network, it can be augmented by applying a growing strategy (e.g. random or scale-free rules) over the previously existing structure. Another approach for augmentation, recently introduced, involves incorporating a direct…

Statistical Mechanics · Physics 2007-05-23 Luciano da Fontoura Costa