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The rate equations are used to study the scale-free behavior of the weight distribution in evolving networks whose topology is determined only by degrees of preexisting vertices. An analysis of these equations shows that the degree…

无序系统与神经网络 · 物理学 2007-05-23 W. Jezewski

We generalize the scale-free network model of Barab\`asi and Albert [Science 286, 509 (1999)] by proposing a class of stochastic models for scale-free interdependent networks in which interdependent nodes are not randomly connected but…

物理与社会 · 物理学 2015-06-11 Boris Podobnik , Davor Horvatic , Mark Dickison , H. Eugene Stanley

It has been discovered recently that many social, biological and ecological systems have the so-called small-world and scale-free features, which has provoked new research interest in the studies of various complex networks. Yet, most…

无序系统与神经网络 · 物理学 2007-05-23 Chunguang Li , Guanrong Chen

In this paper we study the macroscopic conduction properties of large but finite binary networks with conducting bonds. By taking a combination of a spectral and an averaging based approach we derive asymptotic formulae for the conduction…

无序系统与神经网络 · 物理学 2015-06-04 D. P. Almond , C. J. Budd , M. A. Freitag , G. W. Hunt , N. J. McCullen , N. D. Smith

We perform experimental verification of the preferential attachment model that is commonly accepted as a generating mechanism of the scale-free complex networks. To this end we chose citation network of Physics papers and traced citation…

物理与社会 · 物理学 2013-02-15 Michael Golosovsky , Sorin Solomon

Complex networks across various fields are often considered to be scale free -- a statistical property usually solely characterized by a power-law distribution of the nodes' degree $k$. However, this characterization is incomplete. In…

物理与社会 · 物理学 2023-10-24 Xiangyi Meng , Bin Zhou

This article addresses the degree distribution of subnetworks, namely the number of links between the nodes in each subnetwork and the remainder of the structure (cond-mat/0408076). The transformation from a subnetwork-partitioned model to…

无序系统与神经网络 · 物理学 2007-05-23 Luciano da Fontoura Costa

Scaling behavior of scale-free evolving networks arising in communications, citations, collaborations, etc. areas is studied. We derive universal scaling relations describing properties of such networks and indicate limits of their…

凝聚态物理 · 物理学 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

Scale-free networks are prevalently observed in a great variety of complex systems, which triggers various researches relevant to networked models of such type. In this work, we propose a family of growth tree networks $\mathcal{T}_{t}$,…

组合数学 · 数学 2023-11-08 Fei Ma , Ping Wang

Several studies on real complex networks from different fields as biology, economy, or sociology have shown that the degree of nodes (number of edges connected to each node) follows a scale-free power-law distribution like $P(k)\approx…

生物物理 · 物理学 2007-05-23 J. C. Nacher , T. Yamada , S. Goto , M. Kanehisa , T. Akutsu

Many weighted scale-free networks are known to have a power-law correlation between strength and degree of nodes, which, however, has not been well explicated. We investigate the dynamic behaviors of resource/traffic flow on scale-free…

物理与社会 · 物理学 2009-11-11 Qing Ou , Ying-Di Jin , Tao Zhou , Bing-Hong Wang , Bao-Qun Yin

We show that size-rank distributions with power-law decay (often only over a limited extent) observed in a vast number of instances in a widespread family of systems obey Tsallis statistics. The theoretical framework for these distributions…

统计力学 · 物理学 2014-09-29 G. Cigdem Yalcin , Alberto Robledo , Murray Gell-Mann

We show how scale-free degree distributions can emerge naturally from growing networks by using random walks for selecting vertices for attachment. This result holds for several variants of the walk algorithm and for a wide range of…

统计力学 · 物理学 2007-05-23 T. S. Evans , J. P. Saramaki

The spatial distribution of people exhibits clustering across a wide range of scales, from household ($\sim 10^{-2}$ km) to continental ($\sim 10^4$ km) scales. Empirical data indicates simple power-law scalings for the size distribution of…

物理与社会 · 物理学 2016-03-23 Henry W. Lin , Abraham Loeb

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

This letter introduces a mechanism for constructing, through a process of distributed decision-making, substrates for the study of collective dynamics on extended power-law weighted networks with both a desired scaling exponent and a fixed…

物理与社会 · 物理学 2013-01-18 P. Moriano , J. Finke

Network growth is currently explained through mechanisms that rely on node prestige measures, such as degree or fitness. In many real networks those who create and connect nodes do not know the prestige values of existing nodes, but only…

无序系统与神经网络 · 物理学 2007-05-23 Santo Fortunato , Alessandro Flammini , Filippo Menczer

The availability of large scale streaming network data has reinforced the ubiquity of power-law distributions in observations and enabled precision measurements of the distribution parameters. The increased accuracy of these measurements…

物理与社会 · 物理学 2021-08-23 Pat Devlin , Jeremy Kepner , Ashley Luo , Erin Meger

Complex networks have been studied extensively due to their relevance to many real systems as diverse as the World-Wide-Web (WWW), the Internet, energy landscapes, biological and social networks…

无序系统与神经网络 · 物理学 2009-11-11 Chaoming Song , Shlomo Havlin , Hernan A. Makse

We study a modified version of a model previously proposed by Jackson and Wolinsky to account for communicating information and allocating goods in socioeconomic networks. In the model, the utility function of each node is given by a…

物理与社会 · 物理学 2009-11-13 Rui Carvalho , Giulia Iori