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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

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…

统计力学 · 物理学 2009-08-24 Clemence Magnien , Matthieu Latapy , Jean-Loup Guillaume

Small-world networks are the focus of recent interest because they appear to circumvent many of the limitations of either random networks or regular lattices as frameworks for the study of interaction networks of complex systems. Here, we…

统计力学 · 物理学 2012-03-08 Luis A. Nunes Amaral , Antonio Scala , Marc Barthelemy , H. Eugene Stanley

We bring rigor to the vibrant activity of detecting power laws in empirical degree distributions in real-world networks. We first provide a rigorous definition of power-law distributions, equivalent to the definition of regularly varying…

物理与社会 · 物理学 2019-10-23 Ivan Voitalov , Pim van der Hoorn , Remco van der Hofstad , Dmitri Krioukov

Tools of the theory of critical phenomena, namely the scaling analysis and universality, are argued to be applicable to large complex web-like network structures. Using a detailed analysis of the real data of the International Trade Network…

综合金融 · 定量金融 2009-11-13 K. Bhattacharya , G. Mukherjee , J. Saramaki , K. Kaski , S. S. Manna

We study the interplay between evolutionary game and network structure and show how the dynamics of the game affect the growth pattern of the network and how the evolution of the network influence the cooperative behavior in the game.…

物理与社会 · 物理学 2007-05-23 Jie Ren , Xiang Wu , Wen-Xu Wang , Guanrong Chen , Bing-Hong Wang

We study the detailed epidemic spreading process in scale-free networks with weight that denote familiarity between two people or computers. The result shows that spreading velocity reaches a peak quickly then decays representing power-law…

无序系统与神经网络 · 物理学 2007-05-23 G. Yan , Tao Zhou , Jie Wang , Zhongqian Fu , Binghong Wang

We study the organization and dynamics of growing directed networks. These networks are built by adding nodes successively in such a way that each new node has $K$ directed links to the existing ones. The organization of a growing directed…

统计力学 · 物理学 2016-08-31 Baosheng Yuan , Kan Chen , Bing-Hong Wang

We analyze the fine-grained connections between the average degree and the power-law degree distribution exponent in growing information networks. Our starting observation is a power-law degree distribution with a decreasing exponent and…

社会与信息网络 · 计算机科学 2017-01-03 Róbert Pálovics , András A. Benczúr

We present an empirical study of the networks created by users within internet news groups and forums and show that they organise themselves into scale-free trees. The structure of these trees depends on the topic under discussion;…

物理与社会 · 物理学 2008-02-25 Bernard Kujawski , Janusz A. Holyst , Geoff J. Rodgers

We propose a model that generates a new class of networks exhibiting power-law degree distribution with a spectrum of exponents depending on the number of links ($m$) with which incoming nodes join the existing network. Unlike the…

物理与社会 · 物理学 2018-01-09 Kamrul Hassan , Liana Islam

Motivated by a recently introduced network growth mechanism that rely on the ranking of node prestige measures [S. Fortunato \emph{et al}., Phys. Rev. Lett. \textbf{96}, 218701 (2006)], a rank-based model for weighted network evolution is…

无序系统与神经网络 · 物理学 2015-06-25 Liang Tian , Da-Ning Shi , Chen-Ping Zhu

We study network growth from a fixed set of initially isolated nodes placed at random on the surface of a sphere. The growth mechanism we use adds edges to the network depending on strictly local gain and cost criteria. Only nodes that are…

统计力学 · 物理学 2008-04-11 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

Recently several authors have proposed stochastic evolutionary models for the growth of complex networks that give rise to power-law distributions. These models are based on the notion of preferential attachment leading to the ``rich get…

物理与社会 · 物理学 2007-05-23 Trevor Fenner , Mark Levene , George Loizou

We consider a growing network, whose growth algorithm is based on the preferential attachment typical for scale-free constructions, but where the long-range bonds are disadvantaged. Thus, the probability to get connected to a site at…

统计力学 · 物理学 2009-11-07 R. Xulvi-Brunet , I. M. Sokolov

Inspired by scientific collaboration networks, especially our empirical analysis of the network of econophysicists, an evolutionary model for weighted networks is proposed. Both degree-driven and weight-driven models are considered.…

无序系统与神经网络 · 物理学 2007-05-23 Menghui Li , Jinshan Wu , Dahui Wang , Tao Zhou , Zengru Di , Ying Fan

Real world complex networks are scale free and possess meso-scale properties like core-periphery and community structure. We study evolution of the core over time in real world networks. This paper proposes evolving models for both…

社会与信息网络 · 计算机科学 2015-12-01 Akrati Saxena , S. R. S. Iyengar

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

The edges in networks are not only binary, either present or absent, but also take weighted values in many scenarios (e.g., the number of emails between two users). The covariate-$p_0$ model has been proposed to model binary directed…

统计理论 · 数学 2021-07-24 MengXu , Qiuping Wang

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