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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

A key ingredient of current models proposed to capture the topological evolution of complex networks is the hypothesis that highly connected nodes increase their connectivity faster than their less connected peers, a phenomenon called…

Statistical Mechanics · Physics 2009-11-07 H. Jeong , Z. Neda , A. -L. Barabasi

In typical online social networks, users are linked by symmetric friend relations and can define circles of friends based on shared interests. In this paper, we look at social networks where users form links subject to both friendships and…

Social and Information Networks · Computer Science 2019-11-26 Jun Zhao

From families to nations, what binds individuals in social groups is the degree to which they share beliefs, norms, and memories. While local clusters of communicating individuals can sustain shared memories and norms, communities…

Social and Information Networks · Computer Science 2017-05-23 Ida Momennejad , Ajua Duker , Alin Coman

The dynamics of collaboration networks of firms follow a life-cycle of growth and decline. That does not imply they also become less resilient. Instead, declining collaboration networks may still have the ability to mitigate shocks from…

Physics and Society · Physics 2021-02-24 Frank Schweitzer , Giona Casiraghi , Mario V. Tomasello , David Garcia

The relation between network structure and dynamics is determinant for the behavior of complex systems in numerous domains. An important long-standing problem concerns the properties of the networks that optimize the dynamics with respect…

Adaptation and Self-Organizing Systems · Physics 2017-12-07 Takashi Nishikawa , Jie Sun , Adilson E. Motter

Networks effectively capture interactions among components of complex systems, and have thus become a mainstay in many scientific disciplines. Growing evidence, especially from biology, suggest that networks undergo changes over time, and…

Methodology · Statistics 2020-03-10 Ali Shojaie

Growing networks have a causal structure. We show that the causality strongly influences the scaling and geometrical properties of the network. In particular the average distance between nodes is smaller for causal networks than for…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Bialas , Z. Burda , B. Waclaw

Empirical temporal networks display strong heterogeneities in their dynamics, which profoundly affect processes taking place on these networks, such as rumor and epidemic spreading. Despite the recent wealth of data on temporal networks,…

Physics and Society · Physics 2014-10-13 Christian L. Vestergaard , Mathieu Génois , Alain Barrat

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 matching hypothesis in social psychology claims that people are more likely to form a committed relationship with someone equally attractive. Previous works on stochastic models of human mate choice process indicate that patterns…

Physics and Society · Physics 2015-12-02 Tao Jia , Robert F. Spivey , Boleslaw Szymanski , Gyorgy Korniss

Nestedness is a common property of communication, finance, trade, and ecological networks. In networks with high levels of nestedness, the link positions of low-degree nodes (those with few links) form nested subsets of the link positions…

Physics and Society · Physics 2023-12-19 Phillip P. A. Staniczenko , Debabrata Panja

In this paper we study a simple cascading process in a structured heterogeneous population, namely, a network composed of two loosely coupled communities. We demonstrate that under certain conditions the cascading dynamics in such a network…

Statistical Mechanics · Physics 2008-03-14 Aram Galstyan , Paul Cohen

When real networks are considered, coupled networks with connectivity and feedback-dependency links are not rare but more general. Here we develop a mathematical framework and study numerically and analytically percolation of interacting…

Physics and Society · Physics 2013-10-08 Gaogao Dong , Lixin Tian , Ruijin Du , Min Fu , H. Eugene Stanley

Different collective behaviors emerging from the unknown have been examined in networks of mobile agents in recent years. Mobile systems, far from being limited to modeling and studying various natural and artificial systems in motion and…

Adaptation and Self-Organizing Systems · Physics 2025-06-25 Venceslas Nguefoue Meli , Thierry Njougouo , Steve J. Kongni , Patrick Louodop , Hilaire Bertrand Fotsin , Hilda A. Cerdeira

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

We study the effects of mobility on two crucial characteristics in multi-scale dynamic networks: percolation and connection times. Our analysis provides insights into the question, to what extent long-time averages are well-approximated by…

Probability · Mathematics 2021-03-05 Christian Hirsch , Benedikt Jahnel , Elie Cali

As two main focuses of the study of complex networks, the community structure and the dynamics on networks have both attracted much attention in various scientific fields. However, it is still an open question how the community structure is…

Physics and Society · Physics 2010-05-11 Xue-Qi Cheng , Hua-Wei Shen

Memory plays a vital role in the temporal evolution of interactions of complex systems. To address the impact of memory on the temporal pattern of networks, we propose a simple preferential connection model, in which nodes have a…

Physics and Society · Physics 2020-01-16 F. Rabbani , T. Khraisha , F. Abbasi , G. R. Jafari

We address the issue of the effects of considering a network of contacts on the emergence of cooperation on social dilemmas under myopic best response dynamics. We begin by summarizing the main features observed under less intellectually…

Populations and Evolution · Quantitative Biology 2015-05-13 Carlos P. Roca , Jose A. Cuesta , Angel Sanchez
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