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We introduce a minimal extended evolving model for small-world networks which is controlled by a parameter. In this model the network growth is determined by the attachment of new nodes to already existing nodes that are geographically…

Statistical Mechanics · Physics 2007-05-23 Zhongzhi Zhang , Lili Rong , Francesc Comellas

Most real-world networks are weighted graphs with the weight of the edges reflecting the relative importance of the connections. In this work, we study non degree dependent correlations between edge weights, generalizing thus the…

Statistical Mechanics · Physics 2009-11-11 Jose J. Ramasco , Bruno Goncalves

We examine a weighted-network multi-agent model with preferential selection such that agents choose partners with the probability $p(w)$, where $w$ is the number of their past selections. When $p(w)$ increases sublinearly with the number of…

Physics and Society · Physics 2015-06-19 Adam Lipowski , Dorota Lipowska , Antonio Luis Ferreira

Individual nodes in evolving real-world networks typically experience growth and decay --- that is, the popularity and influence of individuals peaks and then fades. In this paper, we study this phenomenon via an intrinsic nodal fitness…

Physics and Society · Physics 2015-05-20 Xin-Jian Xu , Xiao-Long Peng , Michael Small , Xin-Chu Fu

The co-authorship network of scientists represents a prototype of complex evolving networks. By mapping the electronic database containing all relevant journals in mathematics and neuro-science for an eight-year period (1991-98), we infer…

Soft Condensed Matter · Physics 2009-11-07 A. L. Barabasi , H. Jeong , Z. Neda , E. Ravasz , A. Schubert , T. Vicsek

We investigate critical behaviors of a social contagion model on weighted networks. An edge-weight compartmental approach is applied to analyze the weighted social contagion on strongly heterogenous networks with skewed degree and weight…

Physics and Society · Physics 2017-07-12 Yu-Xiao Zhu , Wei Wang , Ming Tang , Yong-Yeol Ahn

Social networks have become an inseparable part of human life and processing them in an efficient manner is a top priority in the study of networks. These networks are highly dynamic and they are growing incessantly. Inspired by the concept…

Social and Information Networks · Computer Science 2020-12-04 Sara Ahmadian , Shahrzad Haddadan

Degree distributions of many real networks are known to follow the Mandelbrot law, which can be considered as an extension of the power law and is determined by not only the power-law exponent, but also the shifting coefficient. Although…

Data Analysis, Statistics and Probability · Physics 2012-02-15 Xue-Zao Ren , Zimo Yang , Bing-Hong Wang , Tao Zhou

Discriminating between competing explanatory models as to which is more likely responsible for the growth of a network is a problem of fundamental importance for network science. The rules governing this growth are attributed to mechanisms…

Social and Information Networks · Computer Science 2021-04-21 Naomi A. Arnold , Raul J. Mondragon , Richard G. Clegg

Growing attention has been brought to the fact that many real directed networks exhibit hierarchy and directionality as measured through techniques like Trophic Analysis and non-normality. We propose a simple growing network model where the…

Physics and Society · Physics 2024-05-13 Niall Rodgers , Peter Tino , Samuel Johnson

We introduce a new mechanism of connectivity evolution in networks to account for the emergence of scale-free behavior. The mechanism works on a fixed set of nodes and promotes growth from a minimally connected initial topology by the…

Statistical Mechanics · Physics 2007-05-23 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

The paper is concerned with the interplay between network structure and traffic dynamics in a communications network, from the viewpoint of end-to-end performance of packet transfer. We use a model of network generation that allows the…

Disordered Systems and Neural Networks · Physics 2016-11-18 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

Systems composed of distinct complex networks are present in many real-world environments, from society to ecological systems. In the present paper, we propose a network model obtained as a consequence of interactions between two species…

Biological Physics · Physics 2007-08-08 Luis Enrique Correa da Rocha , Luciano da Fontoura Costa

Dynamic transportation networks have been analyzed for years by means of static graph-based indicators in order to study the temporal evolution of relevant network components, and to reveal complex dependencies that would not be easily…

Machine Learning · Statistics 2022-02-25 Hector Rodriguez-Deniz , Mattias Villani , Augusto Voltes-Dorta

It is discussed how the worldwide tourist arrivals, about 10% of world's domestic product, form a largely heterogeneous and directed complex network. Remarkably the random network of connectivity is converted into a scale-free network of…

Physics and Society · Physics 2009-11-13 J. I. L. Miguens , J. F. F. Mendes

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. Yan , Tao Zhou , Jie Wang , Zhongqian Fu , Binghong Wang

The degree distributions of complex networks are usually considered to be power law. However, it is not the case for a large number of them. We thus propose a new model able to build random growing networks with (almost) any wanted degree…

Social and Information Networks · Computer Science 2020-12-08 Thibaud Trolliet , Frédéric Giroire , Stéphane Pérennes

We propose a synthetical weights' dynamic mechanism for weighted networks which takes into account the influences of strengths of nodes, weights of links and incoming new vertices. Strength/Weight preferential strategies are used in these…

Physics and Society · Physics 2007-09-10 Lujun Fang , Zhongzhi Zhang , Shuigeng Zhou , Jihong Guan

Based on the formation of triad junctions, the proposed mechanism generates networks that exhibit extended rather than single power law behavior. Triad formation guarantees strong neighborhood clustering and community-level characteristics…

Physics and Society · Physics 2013-06-24 P. Moriano , J. Finke

Scale-free (SF) networks and small world networks have been found to occur in very diverse contexts. It is this striking universality which makes one look for widely applicable mechanisms which lead to the formation of such networks. In…

Disordered Systems and Neural Networks · Physics 2007-05-23 Markus Brede , John Finnigan