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Related papers: Scale-free networks resistant to intentional attac…

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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

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

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

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

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

We study the tolerance of random networks to intentional attack, whereby a fraction p of the most connected sites is removed. We focus on scale-free networks, having connectivity distribution of P(k)~k^(-a) (where k is the site…

Disordered Systems and Neural Networks · Physics 2009-10-31 Reuven Cohen , Keren Erez , Daniel ben-Avraham , Shlomo Havlin

A central claim in modern network science is that real-world networks are typically "scale free," meaning that the fraction of nodes with degree $k$ follows a power law, decaying like $k^{-\alpha}$, often with $2 < \alpha < 3$. However,…

Physics and Society · Physics 2019-03-19 Anna D. Broido , Aaron Clauset

Many real-world scale-free networks, such as neural networks and online communication networks, consist of a fixed number of nodes but exhibit dynamic edge fluctuations. However, traditional models frequently overlook scenarios where the…

Social and Information Networks · Computer Science 2026-04-02 Yichao Yao , Minyu Feng , Matjaž Perc , Jürgen Kurths

Many networks are characterized by highly heterogeneous distributions of links, which are called scale-free networks and the degree distributions follow $p(k)\sim ck^{-\alpha}$. We study the robustness of scale-free networks to random…

Disordered Systems and Neural Networks · Physics 2009-11-11 Bing Wang , Huanwen Tang , Chonghui Guo , Zhilong Xiu

Many complex systems, such as communication networks, display a surprising degree of robustness: while key components regularly malfunction, local failures rarely lead to the loss of the global information-carrying ability of the network.…

Disordered Systems and Neural Networks · Physics 2009-10-31 Reka Albert , Hawoong Jeong , Albert-Laszlo Barabasi

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

Networks with a given degree distribution may be very resilient to one type of failure or attack but not to another. The goal of this work is to determine network design guidelines which maximize the robustness of networks to both random…

Other Condensed Matter · Physics 2009-11-10 G. Paul , T. Tanizawa , S. Havlin , H. E. Stanley

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

It is commonly believed that real networks are scale-free and fraction of nodes $P(k)$ with degree $k$ satisfies the power law $P(k) \propto k^{-\gamma} \text{ for } k > k_{min} > 0$. Preferential attachment is the mechanism that has been…

Data Structures and Algorithms · Computer Science 2023-06-22 Raheel Anwar , Muhammad Irfan Yousuf , Muhammad Abid

Tolerance against failures and errors is an important feature of many complex networked systems [1,2]. It has been shown that a class of inhomogeneously wired networks called scale-free[1,3] networks can be surprisingly robust to failures,…

Physics and Society · Physics 2011-05-02 Damon Centola

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

Physics and Society · Physics 2010-07-06 B. Berche , C. von Ferber , T. Holovatch , Yu. Holovatch

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

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

Physics and Society · Physics 2012-09-25 Bertrand Berche , Christian von Ferber , Taras Holovatch , Yurij Holovatch

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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