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We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

An agent-based model is proposed for analyzing the dynamics that arise from interactions within social networks, analyzing the individual behavior of each profile. Said model considers a simplified construction of a social network while…

Social and Information Networks · Computer Science 2019-03-15 Juan Camilo Ramírez de los Rios , Paula Alejandra Escudero Marín , María Camila Vásquez-Correa

The topology of social networks can be understood as being inherently dynamic, with edges having a distinct position in time. Most characterizations of dynamic networks discretize time by converting temporal information into a sequence of…

Data Analysis, Statistics and Probability · Physics 2012-12-03 Aaron Clauset , Nathan Eagle

Social interactions vary in time and appear to be driven by intrinsic mechanisms, which in turn shape the emerging structure of the social network. Large-scale empirical observations of social interaction structure have become possible only…

Physics and Society · Physics 2015-12-09 Guillaume Laurent , Jari Saramäki , Márton Karsai

Virtually all real-world networks are dynamical entities. In social networks, the propensity of nodes to engage in social interactions (activity) and their chances to be selected by active nodes (attractiveness) are heterogeneously…

Physics and Society · Physics 2017-06-13 Laura Alessandretti , Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

We propose a family of models to study the evolution of ties in a network of interacting agents by reinforcement and penalization of their connections according to certain local laws of interaction. The family of stochastic dynamical…

Physics and Society · Physics 2016-06-01 Augusto Almeida Santos , Soummya Kar , Ramayya Krishnan , José M. F. Moura

We introduce and solve a model which considers two coupled networks growing simultaneously. The dynamics of the networks is governed by the new arrival of network elements (nodes) making preferential attachments to pre-existing nodes in…

Statistical Mechanics · Physics 2007-05-23 Dafang Zheng , Guler Ergun

The interactions among human beings represent the backbone of our societies. How people interact, establish new connections, and allocate their activities among these links can reveal a lot of our social organization. Despite focused…

Physics and Society · Physics 2021-03-01 Enrico Ubaldi , Raffaella Burioni , Vittorio Loreto , Fancesca Tria

Networks built to model real world phenomena are characeterised by some properties that have attracted the attention of the scientific community: (i) they are organised according to community structure and (ii) their structure evolves with…

Social and Information Networks · Computer Science 2019-09-04 Giulio Rossetti , Rémy Cazabet

In human societies, people's willingness to compete and strive for better social status as well as being envious of those perceived in some way superior lead to social structures that are intrinsically hierarchical. Here we propose an…

Multiagent Systems · Computer Science 2021-04-28 Jan E. Snellman , Gerardo Iñiguez , Tzipe Govezensky , Rafael A. Barrio , Kimmo K. Kaski

How are people linked in a highly connected society? Since in many networks a power-law (scale-free) node-degree distribution can be observed, power-law might be seen as a universal characteristics of networks. But this study of…

Physics and Society · Physics 2023-06-22 Matthias Scholz

Several approaches to cognition and intelligence research rely on statistics-based models testing, namely factor analysis. In the present work we exploit the emerging dynamical systems perspective putting the focus on the role of the…

Physics and Society · Physics 2018-03-15 Gemma Rosell-Tarragó , Emanuele Cozzo , Albert Díaz-Guilera

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

Long ties, the social ties that bridge different communities, are widely believed to play crucial roles in spreading novel information in social networks. However, some existing network theories and prediction models indicate that long ties…

Social and Information Networks · Computer Science 2022-04-15 Ding Lyu , Yuan Yuan , Lin Wang , Xiaofan Wang , Alex Pentland

We model a social-encounter network where linked nodes match for reproduction in a manner depending probabilistically on each node`s attractiveness. The developed model reveals that increasing either the network`s mean degree or the…

Physics and Society · Physics 2017-06-22 S. Dipple , T. Jia , T. Caraco , G. Korniss , B. K. Szymanski

Links in a practical network may have different functions, which makes the original network a combination of some functional subnetworks. Here, by a model of coupled oscillators, we investigate how such functional subnetworks are evolved…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Menghui Li , Xingang Wang , Choy-Heng Lai

It is well-known that population structure is a catalyst for the evolution of cooperation since individuals can reciprocate with their neighbors through local interactions defined by network structures. Previous research typically relies on…

Physics and Society · Physics 2021-12-16 Anzhi Sheng , Aming Li , Long Wang

Human behavior often exhibit a scheme in which individuals adopt indifferent, neutral, or radical positions on a given topic. The mechanisms leading to community formation are strongly related with social pressure and the topology of the…

Physics and Society · Physics 2013-02-21 Marta Balbás Gambra , Erwin Frey

Natural selection and random drift are competing phenomena for explaining the evolution of populations. Combining a highly fit mutant with a population structure that improves the odds that the mutant spreads through the whole population…

Populations and Evolution · Quantitative Biology 2009-08-14 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

The structure and the properties of complex networks essentially depend on the way how nodes get connected to each other. We assume here that each node has a feature which attracts the others. We model the situation by assigning two numbers…

Statistical Mechanics · Physics 2009-11-10 Philippe Blanchard , Santo Fortunato , Tyll Krueger