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The description of the Internet topology is an important open problem, recently tackled with the introduction of scale-free networks. In this paper we focus on the topological and dynamical properties of real Internet maps in a three years…

统计力学 · 物理学 2009-11-07 Romualdo Pastor-Satorras , Alexei Vazquez , Alessandro Vespignani

We present a statistical analysis of different metrics characterizing the topological properties of Internet maps, collected at two different resolution scales: the router and the autonomous system level. The metrics we consider allow us to…

无序系统与神经网络 · 物理学 2007-05-23 A. Vazquez , R. Pastor-Satorras , A. Vespignani

We study the dynamics of the Internet topology based on the empirical data on the level of the autonomous systems. It is found that the fluctuations occurring in the stochastic process of connecting and disconnecting edges are important…

统计力学 · 物理学 2009-11-07 K. -I. Goh , B. Kahng , D. Kim

We present here a study of the clustering and cycles in the graph of Internet at the Autonomous Systems level. We show that,even if the whole structure is changing with time, the statistical distributions of loops of order 3,4,5 remain…

无序系统与神经网络 · 物理学 2016-08-31 Ginestra Bianconi , Guido Caldarelli , Andrea Capocci

There are few studies that look closely at how the topology of the Internet evolves over time; most focus on snapshots taken at a particular point in time. In this paper, we investigate the evolution of the topology of the Autonomous…

网络与互联网体系结构 · 计算机科学 2012-02-20 Benjamin Edwards , Steven Hofmeyr , George Stelle , Stephanie Forrest

We present here a study of the clustering and cycles present in the graph of Internet at the Autonomous Systems level. Even if the whole structure is changing with time, we present some evidence that the statistical distributions of cycles…

无序系统与神经网络 · 物理学 2007-05-23 Ginestra Bianconi , Guido Caldarelli , Andrea Capocci

We study structural feature and evolution of the Internet at the autonomous systems level. Extracting relevant parameters for the growth dynamics of the Internet topology, we construct a toy model for the Internet evolution, which includes…

物理与社会 · 物理学 2015-06-26 H. K. Lee , K. -I. Goh , B. Kahng , D. Kim

As the Internet AS-level topology grows over time, some of its structural properties remain unchanged. Such time- invariant properties are generally interesting, because they tend to reflect some fundamental processes or constraints behind…

社会与信息网络 · 计算机科学 2015-08-14 Chiara Orsini , Enrico Gregori , Luciano Lenzini , Dmitri Krioukov

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

无序系统与神经网络 · 物理学 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

We study how the graph structure of the Internet at the Autonomous Systems (AS) level evolved during a decade. For each year of the period 2008-2017 we consider a snapshot of the AS graph and examine how many features related to structure,…

网络与互联网体系结构 · 计算机科学 2019-08-27 Agostino Funel

During the last three decades the Internet has experienced fascinating evolution, both exponential growth in traffic and rapid expansion in topology. The size of the Internet becomes enormous, yet the network is very `small' in the sense…

网络与互联网体系结构 · 计算机科学 2010-03-31 Shi Zhou

A general scheme for detecting and analyzing topological patterns in large complex networks is presented. In this scheme the network in question is compared with its properly randomized version that preserves some of its low-level…

统计力学 · 物理学 2008-03-25 Sergei Maslov , Kim Sneppen , Alexei Zaliznyak

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

统计力学 · 物理学 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Network generators that capture the Internet's large-scale topology are crucial for the development of efficient routing protocols and modeling Internet traffic. Our ability to design realistic generators is limited by the incomplete…

统计力学 · 物理学 2009-11-07 Soon-Hyung Yook , Hawoong Jeong , Albert-Laszlo Barabasi

Many real-world complex systems such as social, biological, information as well as technological systems results of a decentralized and unplanned evolution which leads to a common structuration. Irrespective of their origin, these so-called…

社会与信息网络 · 计算机科学 2013-05-03 Chantal Cherifi , Jean-François Santucci

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

统计力学 · 物理学 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

While the statistical and resilience properties of the Internet are no more changing significantly across time, the Darknet, a network devoted to keep anonymous its traffic, still experiences rapid changes to improve the security of its…

物理与社会 · 物理学 2017-04-05 M. De Domenico , A. Arenas

The models of the Internet reported in the literature are mainly aimed at reproducing the scale-free structure, the high clustering coefficient and the small world effects found in the real Internet, while other important properties (e.g.…

物理与社会 · 物理学 2011-11-10 F. A. Rodrigues , P. R. Villas Boas , G. Travieso , L. da F. Costa

We study a recently introduced class of scale-free networks showing a high clustering coefficient and non-trivial connectivity correlations. We find that the connectivity probability distribution strongly depends on the fine details of the…

Measurements and data analysis have proved very effective in the study of the Internet's physical fabric and have shown heterogeneities and statistical fluctuations extending over several orders of magnitude. Here we analyze performance…

凝聚态物理 · 物理学 2009-11-07 Roberto Percacci , Alessandro Vespignani
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