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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…

无序系统与神经网络 · 物理学 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.…

网络与互联网体系结构 · 计算机科学 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.…

物理与社会 · 物理学 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…

统计力学 · 物理学 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…

无序系统与神经网络 · 物理学 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…

无序系统与神经网络 · 物理学 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,…

物理与社会 · 物理学 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…

社会与信息网络 · 计算机科学 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…

无序系统与神经网络 · 物理学 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.…

无序系统与神经网络 · 物理学 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.…

凝聚态物理 · 物理学 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…

其他凝聚态物理 · 物理学 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…

社会与信息网络 · 计算机科学 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…

数据结构与算法 · 计算机科学 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,…

物理与社会 · 物理学 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…

统计力学 · 物理学 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…

物理与社会 · 物理学 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…

统计力学 · 物理学 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…

物理与社会 · 物理学 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…

物理与社会 · 物理学 2009-04-03 C. von Ferber , T. Holovatch , Yu. Holovatch
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