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In evolving complex systems such as air traffic and social organizations, collective effects emerge from their many components' dynamic interactions. While the dynamic interactions can be represented by temporal networks with nodes and…

Social and Information Networks · Computer Science 2017-09-21 Tiago P. Peixoto , Martin Rosvall

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

Multi-layered networks represent a major advance in the description of natural complex systems, and their study has shed light on new physical phenomena. Despite its importance, however, the role of the temporal dimension in their structure…

Physics and Society · Physics 2017-09-07 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

System structures play an essential role in the emergence of collective intelligence in many natural and engineering systems. In empirical systems, interactions among multiple agents may change over time, forming a temporal network…

Physics and Society · Physics 2024-09-24 Zhenglong Tian , Yao Meng , Wenxuan Fang , Aming Li

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

Statistical Mechanics · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

Many real-world complex systems including human interactions can be represented by temporal (or evolving) networks, where links activate or deactivate over time. Characterizing temporal networks is crucial to compare such systems and to…

Physics and Society · Physics 2022-08-30 Alberto Ceria , Shlomo Havlin , Alan Hanjalic , Huijuan Wang

Recently, evolving networks are becoming a suitable form to model many real-world complex systems, due to their peculiarities to represent the systems and their constituting entities, the interactions between the entities and the…

Artificial Intelligence · Computer Science 2017-09-21 Angelo Impedovo , Corrado Loglisci , Michelangelo Ceci

Many of the biological, social and man-made networks around us are inherently dynamic, with their links switching on and off over time. The evolution of these networks is often non-Markovian, and the dynamics of their links correlated.…

Statistical Mechanics · Physics 2021-07-23 Oliver E. Williams , Piero Mazzarisi , Fabrizio Lillo , Vito Latora

We introduce a model of adaptive temporal networks whose evolution is regulated by an interplay between node activity and dynamic exchange of information through links. We study the model by using a master equation approach. Starting from a…

Physics and Society · Physics 2016-04-18 Takaaki Aoki , Luis E. C. Rocha , Thilo Gross

Temporal networks are widely used models for describing the architecture of complex systems. Network memory -- that is the dependence of a temporal network's structure on its past -- has been shown to play a prominent role in diffusion,…

Physics and Society · Physics 2020-04-28 Oliver E. Williams , Lucas Lacasa , Ana P. Millán , Vito Latora

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

Understanding the evolution of cooperation in structured populations represented by networks is a problem of long research interest, and a most fundamental and widespread property of social networks related to cooperation phenomena is that…

Physics and Society · Physics 2023-09-25 Aming Li , Yao Meng , Lei Zhou , Naoki Masuda , Long Wang

This study examines long-term trends and shifting behavior in the collaboration network of mathematics literature, using a subset of data from Mathematical Reviews spanning 1985-2009. Rather than modeling the network cumulatively, this…

We present statistics for the structure and time-evolution of a network constructed from user activity in an Internet community. The vastness and precise time resolution of an Internet community offers unique possibilities to monitor social…

Disordered Systems and Neural Networks · Physics 2007-05-23 Petter Holme , Christofer R. Edling , Fredrik Liljeros

Community detection is an important tool for exploring and classifying the properties of large complex networks and should be of great help for spatial networks. Indeed, in addition to their location, nodes in spatial networks can have…

Physics and Society · Physics 2012-06-01 Federica Cerina , Vincenzo De Leo , Marc Barthelemy , Alessandro Chessa

Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the…

Physics and Society · Physics 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

In a range of scientific coauthorship networks, transitions emerge in degree distributions, correlations between degrees and local clustering coefficients, etc. The existence of those transitions could be regarded as a result of the…

Physics and Society · Physics 2018-06-19 Zheng Xie , Enming Dong , Dongyun Yi , Ouyang Zhenzheng , Jianping Li

Networks are well-established representations of social systems, and temporal networks are widely used to study their dynamics. Temporal network data often consist in a succession of static networks over consecutive time windows whose…

Physics and Society · Physics 2021-09-30 Valeria Gelardi , Didier Le Bail , Alain Barrat , Nicolas Claidière

Individuals interact and cooperate in structured systems. Many studies represent this structure using static networks, where each link represents a permanent connection between two nodes. However, real interactions are generally not…

Physics and Society · Physics 2025-12-23 Xiaochen Wang , Lei Zhou , Alex McAvoy , Zhenglong Tian , Aming Li

Correlated fluctuations in the activity of neural populations reflect the network's dynamics and connectivity. The temporal and spatial dimensions of neural correlations are interdependent. However, prior theoretical work mainly analyzed…

Neurons and Cognition · Quantitative Biology 2022-07-19 Yan-Liang Shi , Roxana Zeraati , Anna Levina , Tatiana A. Engel