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A network as a substrate for dynamic processes may have its own dynamics. We propose a model for networks which evolve together with diffusing particles through a coupled dynamics, and investigate emerging structural property. The model…

统计力学 · 物理学 2009-11-10 Sang-Woo Kim , Jae Dong Noh

The systematic study of large-scale networks has unveiled the ubiquitous presence of connectivity patterns characterized by large scale heterogeneities and unbounded statistical fluctuations. These features affect dramatically the behavior…

其他定量生物学 · 定量生物学 2007-05-23 Vittoria Colizza , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

We discuss a newly proposed model by Barrat et al. (Phys. Rev. Lett. 92, 228701, 2004) for weighted evolving networks and suggest yet another model which can be viewed in the framework of worldwide airport network as "busy airports get…

其他凝聚态物理 · 物理学 2007-05-23 R. V. R. Pandya

In real networks complex topological features are often associated with a diversity of interactions as measured by the weights of the links. Moreover, spatial constraints may as well play an important role, resulting in a complex interplay…

物理与社会 · 物理学 2014-11-18 Luca Dall'Asta , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Systems which consist of many localized constituents interacting with each other can be represented by complex networks. Consistently, network science has become highly popular in vast fields focusing on natural, artificial and social…

统计力学 · 物理学 2022-06-29 Rute Oliveira , Samuraí Brito , Luciano R. da Silva , Constantino Tsallis

We study a simple model in which the growth of a network is determined by the location of one or more random walkers. Depending on walker speed, the model generates a spectrum of structures situated between well-known limiting cases. We…

物理与社会 · 物理学 2020-01-27 Robert J. H. Ross , Charlotte Strandkvist , Walter Fontana

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

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

What drives the propensity for the social network dynamics? Social influence is believed to drive both off-line and on-line human behavior, however it has not been considered as a driver of social network evolution. Our analysis suggest…

物理与社会 · 物理学 2016-05-27 Yang Yang , Nitesh V. Chawla , Ryan N. Lichtenwalter , Yuxiao Dong

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

This paper studies the topological properties of the World Trade Web (WTW) and its evolution over time by employing a weighted network analysis. We show that the WTW, viewed as a weighted network, displays statistical features that are very…

综合金融 · 定量金融 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

Complex networks emerge under different conditions through simple rules of growth and evolution. Such rules are typically local when dealing with biological systems and most social webs. An important deviation from such scenario is provided…

物理与社会 · 物理学 2007-05-23 Sergi Valverde , Ricard V. Sole

In this work we study a simple evolutionary model of bipartite networks which its evolution is based on the duplication of nodes. Using analytical results along with numerical simulation of the model, we show that the above evolutionary…

无序系统与神经网络 · 物理学 2009-11-10 A. Ramezanpour

We study the statistics of growing networks in which each link carries a weight (k_i k_j)^theta, where k_i and k_j are the node degrees at the endpoints of link ij. Network growth is governed by preferential attachment in which a…

统计力学 · 物理学 2009-11-10 E. Almaas , P. L. Krapivsky , S. Redner

This article reviews and evaluates models of network evolution based on the notion of structural diversity. We show that diversity is an underlying theme of three principles of network evolution: the preferential attachment model,…

社会与信息网络 · 计算机科学 2020-09-22 Jérôme Kunegis

A spatial scale-free network is introduced and studied whose motivation has been originated in the growing Internet as well as the Airport networks. We argue that in these real-world networks a new node necessarily selects one of its…

统计力学 · 物理学 2009-11-11 G. Mukherjee , S. S. Manna

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

In order to take the weight of connection into consideration and to find a natural measurement of weight, we have collected papers in Econophysics and constructed a network of scientific communication to integrate idea transportation among…

其他凝聚态物理 · 物理学 2007-05-23 Menghui Li , Ying Fan , Jiawei Chen , Liang Gao , Zengru Di , Jinshan Wu

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

We investigate transitions of portals users between different subpages. A weighted network of portals subpages is reconstructed where edge weights are numbers of corresponding transitions. Distributions of link weights and node strengths…

物理与社会 · 物理学 2015-05-13 Anna M. Chmiel , Kamila Kowalska , Janusz A. Holyst

The results of transportation infrastructure network analyses have been used to analyze complex networks in a topological context. However, most modeling approaches, including those based on complex network theory, do not fully account for…

物理与社会 · 物理学 2016-04-20 Qi Xu , Baohua Mao , Yun Bai