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Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman

Networked structure emerged from a wide range of fields such as biological systems, World Wide Web and technological infrastructure. A deeply insight into the topological complexity of these networks has been gained. Some works start to pay…

Physics and Society · Physics 2012-02-03 Jiang Xiongfei

Network topology and its relationship to tie strengths may hinder or enhance the spreading of information in social networks. We study the correlations between tie strengths and topology in networks of scientific collaboration, and show…

Physics and Society · Physics 2012-01-12 Raj Kumar Pan , Jari Saramäki

We consider a class of simple, non-trivial models of evolving weighted scale-free networks. The network evolution in these models is determined by attachment of new vertices to ends of preferentially chosen weighted edges. Resulting…

Statistical Mechanics · Physics 2007-05-23 S. N. Dorogovtsev , J. F. F. Mendes

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with…

Populations and Evolution · Quantitative Biology 2007-05-23 Thilo Gross , Carlos Dommar D'Lima , Bernd Blasius

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 W. Jezewski

Recently, motivated by the pioneer works that reveal the small-world effect and scale-free property of various real-life networks, many scientists devote themselves into studying complex networks. One of the ultimate goals is to understand…

Physics and Society · Physics 2007-05-23 Tao Zhou , Zhong-Qian Fu , Bing-Hong Wang

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chunguang Li , Guanrong Chen

While operating communication networks adaptively may improve utilization and performance, frequent adjustments also introduce an algorithmic challenge: the re-optimization of traffic engineering solutions is time-consuming and may limit…

Networking and Internet Architecture · Computer Science 2023-12-19 Monika Henzinger , Ami Paz , Stefan Schmid

Using edge weights is essential for modeling real-world systems where links possess relevant information, and preserving this information in low-dimensional representations is relevant for classification and prediction tasks. This paper…

Social and Information Networks · Computer Science 2025-08-12 Adilson Vital , Filipi N. Silva , Diego R. Amancio

Network science enables the effective analysis of real interconnected systems, characterized by a complex interplay between topology and interconnections strength. It is well-known that the topology of a network affects its resilience to…

Physics and Society · Physics 2021-06-10 Giulia Bertagnolli , Riccardo Gallotti , Manlio De Domenico

Since some realistic networks are influenced not only by increment behavior but also by tunable clustering mechanism with new nodes to be added to networks, it is interesting to characterize the model for those actual networks. In this…

Physics and Society · Physics 2012-02-03 Ying-Hong Ma , Huijia Li , Xiao-Dong Zhang

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…

General Finance · Quantitative Finance 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

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.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Menghui Li , Jinshan Wu , Dahui Wang , Tao Zhou , Zengru Di , Ying Fan

For most technical networks, the interplay of dynamics, traffic and topology is assumed crucial to their evolution. In this paper, we propose a traffic-driven evolution model of weighted technological networks. By introducing a general…

Disordered Systems and Neural Networks · Physics 2009-11-11 Wen-Xu Wang , Bo Hu , Gang Yan , Qing Ou , Bing-Hong Wang

We explore the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the…

Chaotic Dynamics · Physics 2019-01-16 A. Tlaie , I. Leyva , R. Sevilla-Escoboza , V. P. Vera-Avila , I. Sendiña-Nadal

We consider a class of random, weighted networks, obtained through a redefinition of patterns in an Hopfield-like model and, by performing percolation processes, we get information about topology and resilience properties of the networks…

Statistical Mechanics · Physics 2015-05-30 Elena Agliari , Claudia Cioli , Enore Guadagnini

The influence of networks topology on collective properties of dynamical systems defined upon it is studied in the thermodynamic limit. A network model construction scheme is proposed where the number of links, the average eccentricity and…

Physics and Society · Physics 2015-05-25 Sarah De Nigris , Xavier Leoncini

Network theory provides a rich toolbox consisting of methods, measures, and models for studying the structure and dynamics of complex systems found in nature, society, or technology. Recently, it has been pointed out that many real-world…

Physics and Society · Physics 2016-04-07 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Jürgen Kurths

Complex numbers define the relationship between entities in many situations. A canonical example would be the off-diagonal terms in a Hamiltonian matrix in quantum physics. Recent years have seen an increasing interest to extend the tools…

Social and Information Networks · Computer Science 2023-07-06 Yu Tian , Renaud Lambiotte