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The small-world phenomenon in complex networks has been identified as being due to the presence of long-range links, i.e., links connecting nodes that would otherwise be separated by a long node-to-node distance. We find, surprisingly, that…

Disordered Systems and Neural Networks · Physics 2009-11-07 Adilson E. Motter , Takashi Nishikawa , Ying-Cheng Lai

It has been well-known that many real networks are scale-free (SF) but extremely vulnerable against attacks. We investigate the robustness of connectivity and the lengths of the shortest loops in randomized SF networks with realistic…

Social and Information Networks · Computer Science 2026-02-03 Yingzhou Mou , Yukio Hayashi

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

Adversarial attacks have been alerting the artificial intelligence community recently, since many machine learning algorithms were found vulnerable to malicious attacks. This paper studies adversarial attacks to scale-free networks to test…

Social and Information Networks · Computer Science 2020-02-05 Qi Xuan , Yalu Shan , Jinhuan Wang , Zhongyuan Ruan , Guanrong Chen

We investigate simplified models of computer data networks and examine how the introduction of additional random links influences the performance of these net works. In general, the impact of additional random links on the performance of…

adap-org · Physics 2023-12-18 Henryk Fuks , Anna T. Lawniczak

The scale-free (SF) structure that commonly appears in many complex networks is one of the hot topics related to social, biological, and information sciences. The self-organized generation mechanisms are expected to be useful for efficient…

Physics and Society · Physics 2007-05-23 Yukio Hayashi

This paper is concerned with the characterization of the relationship between topology and traffic dynamics. We use a model of network generation that allows the transition from random to scale free networks. Specifically, we consider three…

Networking and Internet Architecture · Computer Science 2007-05-23 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

Previous studies on the invulnerability of scale-free networks under edge attacks supported the conclusion that scale-free networks would be fragile under selective attacks. However, these studies are based on qualitative methods with…

Social and Information Networks · Computer Science 2012-11-15 Bojin Zheng , Hongrun Wu , Wenhua Du , Wanneng Shu , Jun Qin

Susceptibility of scale free Power Law (PL) networks to attacks has been traditionally studied in the context of what may be termed as {\em instantaneous attacks}, where a randomly selected set of nodes and edges are deleted while the…

Statistical Mechanics · Physics 2007-05-23 Behnam A. Rezaei , Nima Sarshar , P. Oscar Boykin , Vwani P. Roychowdhury

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 analyze the correlation properties of the Erdos-Renyi random graph (RG) and the Barabasi-Albert scale-free network (SF) under the attack and repair strategy with detrended fluctuation analysis (DFA). The maximum degree k_max,…

Statistical Mechanics · Physics 2015-06-25 L. P. Chi , C. B. Yang , K. Ma , X. Cai

The structure of complex networks in previous research has been widely described as scale-free networks generated by the preferential attachment model. However, the preferential attachment model does not take into account the detailed…

Disordered Systems and Neural Networks · Physics 2008-02-26 Nobuhiko Oshida , Sigeo Ihara

A complete understanding of real networks requires us to understand the consequences of the uneven interaction strengths between a system's components. Here we use the minimum spanning tree (MST) to explore the effect of weight assignment…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. J. Macdonald , E. Almaas , A. -L. Barabasi

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

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

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

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

A comparative analysis of structural and flow approaches to analysis of vulnerability of complex network systems (NS) from targeted attacks and non-target lesions of various types was carried out. Typical structural and functional scenarios…

Physics and Society · Physics 2024-04-03 Olexandr Polishchuk

Taking into account the fact that overload failures in real-world functional networks are usually caused by extreme values of temporally fluctuating loads that exceed the allowable range, we study the robustness of scale-free networks…

Physics and Society · Physics 2015-07-02 Shogo Mizutaka , Kousuke Yakubo

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
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