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We propose and study a model of weighted scale-free networks incorporating a stochastic scheme for weight assignments to the links, taking into account both the popularity and fitness of a node. As the network grows the weights of links are…

Statistical Mechanics · Physics 2009-11-10 Dafang Zheng , Steffen Trimper , Bo Zheng , P. M. Hui

Many important real-world networks manifest "small-world" properties such as scale-free degree distributions, small diameters, and clustering. The most common model of growth for these networks is "preferential attachment", where nodes…

Quantitative Methods · Quantitative Biology 2009-11-13 Samarth Swarup , Les Gasser

We investigate the dynamics of random walks on weighted networks. Assuming that the edge's weight and the node's strength are used as local information by a random walker, we study two kinds of walks, weight-dependent walk and…

Statistical Mechanics · Physics 2015-06-25 An-Cai Wu , Xin-Jian Xu , Zhi-Xi Wu , Ying-Hai Wang

The information regarding the structure of a single protein is encoded in the network of interacting amino acids. Considering each protein as a weighted and unweighted network of amino acids we have analyzed a total of forty nine protein…

Molecular Networks · Quantitative Biology 2015-06-26 Md. Aftabuddin , Sudip Kundu

The analysis in this paper helps to explain the formation of growing networks with degree distributions that follow extended exponential or power-law tails. We present a generic model in which edge dynamics are driven by a continuous…

Physics and Society · Physics 2020-11-12 Jan Medina-López , Jorge Finke

We present a study of transport on complex networks with routing based on local information. Particles hop from one node of the network to another according to a set of routing rules with different degrees of congestion awareness, ranging…

Statistical Mechanics · Physics 2007-07-12 Bogdan Danila , Yong Yu , Samuel Earl , John A. Marsh , Zoltan Toroczkai , Kevin E. Bassler

Understanding the structure and evolution of online bipartite networks is a significant task since they play a crucial role in various e-commerce services nowadays. Recently, various attempts have been tried to propose different models,…

Physics and Society · Physics 2015-06-11 C. -X. Zhang , Z. -K. Zhang , C. Liu

Many real systems exhibit the processes of growth and shrink. In this paper, we propose a network evolution model based on the simultaneous application of both node addition and deletion rules. To obtain a higher clustering that is present…

Physics and Society · Physics 2023-12-12 Sergei Sidorov , Sergei Mironov , Timofei D. Emelianov

Networks are widely used to model the interaction between individual dynamical systems. In many instances, the total number of units as well as the interaction coupling are not fixed in time, but rather constantly evolve. In terms of…

Adaptation and Self-Organizing Systems · Physics 2023-09-19 Melvyn Tyloo

Recent years have seen a growing interest in the modeling and simulation of social networks to understand several social phenomena. Two important classes of networks, small world and scale free networks have gained a lot of research…

Social and Information Networks · Computer Science 2014-11-04 Mohammad Qasim Pasta , Zohaib Jan , Arnaud Sallaberry , Faraz Zaidi

Many networks are complex dynamical systems, where both attributes of nodes and topology of the network (link structure) can change with time. We propose a model of co-evolving networks where both node at- tributes and network structure…

Social and Information Networks · Computer Science 2011-06-15 Yoon-Sik Cho , Greg Ver Steeg , Aram Galstyan

Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

Physics and Society · Physics 2009-11-11 Chunguang Li , Philip K. Maini

We study the effects of animal social networks with a weighted pattern of interactions on the flocking transition exhibited by models of self-organized collective motion. Considering a model representing dynamics on a one-dimensional…

Physics and Society · Physics 2022-10-19 Jaume Ojer , Romualdo Pastor-Satorras

We propose a growing network model that consists of two tunable mechanisms: growth by merging modules which are represented as complete graphs and a fitness-driven preferential attachment. Our model exhibits the three prominent statistical…

Molecular Networks · Quantitative Biology 2007-07-31 Kazuhiro Takemoto , Chikoo Oosawa

The study of human interactions is of central importance for understanding the behavior of individuals, groups and societies. Here, we observe the formation and evolution of networks by monitoring the addition of all new links and we…

Physics and Society · Physics 2013-02-01 Lazaros K. Gallos , Diego Rybski , Fredrik Liljeros , Shlomo Havlin , Hernan A. Makse

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

Physics and Society · Physics 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

The principle that 'the brand effect is attractive' underlies preferential attachment. Here we show that the brand effect is just one dimension of attractiveness. Another dimension is competitiveness. We firstly develop a general framework…

Physics and Society · Physics 2014-05-20 Jin-Li Guo

In many real growing networks the mean number of connections per vertex increases with time. The Internet, the Word Wide Web, collaboration networks, and many others display this behavior. Such a growth can be called {\em accelerated}. We…

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

The evolution of complex networks is governed by both growing rules and internal properties. Most evolving network models (e.g. preferential attachment) emphasize on the growing strategy, while neglecting the characteristics of individual…

Social and Information Networks · Computer Science 2020-05-07 Dong Chen , Hong Yu

We present analytical results for the emerging structure of networks that evolve via a combination of growth (by node addition and random attachment) and contraction (by random node deletion). To this end we consider a network model in…

Statistical Mechanics · Physics 2022-10-25 Barak Budnick , Ofer Biham , Eytan Katzav