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Social dynamics on a network may be accelerated or decelerated depending on which pairs of individuals in the network communicate early and which pairs do later. The order with which the links in a given network are sequentially used, which…

Physics and Society · Physics 2016-03-18 Naoki Masuda

Link prediction appears as a central problem of network science, as it calls for unfolding the mechanisms that govern the micro-dynamics of the network. In this work, we are interested in ego-networks, that is the mere information of…

Social and Information Networks · Computer Science 2015-12-16 Lionel Tabourier , Anne-Sophie Libert , Renaud Lambiotte

The study of temporal networks is motivated by the simple and important observation that just as network structure can affect dynamics, so can structure in time. Just as network topology can teach us about the system in question, so can its…

Physics and Society · Physics 2021-03-26 Petter Holme , Jari Saramäki

We consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolution equation for the statistical dynamics. This leads to a…

Mathematical Physics · Physics 2014-12-02 Anatoly N. Kochubei , Yuri G. Kondratiev

Sequential activation of neurons is a common feature of network activity during a variety of behaviors, including working memory and decision making. Previous network models for sequences and memory emphasized specialized architectures in…

Neurons and Cognition · Quantitative Biology 2016-03-16 Kanaka Rajan , Christopher D Harvey , David W Tank

This paper presents an analysis of a temporal network that describes the social connections of a large-scale (~ 30,000) sample of online social network users, inhabitants of a fixed city. We tested how the main network formation…

Social and Information Networks · Computer Science 2022-10-04 Ivan V. Kozitsin , Eduard R. Sayfulin , Vyacheslav L. Goiko

Temporal networks, whose links are activated or deactivated over time, are used to represent complex systems such as social interactions or collaborations occurring at specific times. Such networks facilitate the spread of information and…

Social and Information Networks · Computer Science 2025-02-27 Tianrui Mao , Shilun Zhang , Alan Hanjalic , Huijuan Wang

We study the evolution of networks through `triplets' - three-node graphlets. We develop a method to compute a transition matrix to describe the evolution of triplets in temporal networks. To identify the importance of higher-order…

Physics and Society · Physics 2021-08-02 Qing Yao , Bingsheng Chen , Kim Christensen , Tim S. Evans

Many natural and artificial networks evolve in time. Nodes and connections appear and disappear at various timescales, and their dynamics has profound consequences for any processes in which they are involved. The first empirical analysis…

Statistical Mechanics · Physics 2012-05-21 Michele Starnini , Andrea Baronchelli , Alain Barrat , Romualdo Pastor-Satorras

We understand the dynamics of the world around us as by associating pairs of events, where one event has some influence on the other. These pairs of events can be aggregated into a web of memories representing our understanding of an…

Physics and Society · Physics 2010-09-03 Sungmin Lee , Verónica C Ramenzoni , Petter Holme

Transport equations with a nonlocal velocity field have been introduced as a continuum model for interacting particle systems arising in physics, chemistry and biology. Fractional time derivatives, given by convolution integrals of the…

Analysis of PDEs · Mathematics 2019-04-16 Fabio Camilli , Raul De Maio

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

Dynamic networks exhibit temporal patterns that vary across different time scales, all of which can potentially affect processes that take place on the network. However, most data-driven approaches used to model time-varying networks…

Physics and Society · Physics 2017-12-27 Tiago P. Peixoto , Laetitia Gauvin

In many cases of attacks or failures, memory effects play a significant role. Therefore, we present a model that not only considers the dependencies between nodes but also incorporates the memory effects of attacks. Our research…

Physics and Society · Physics 2023-06-21 Yanpeng Zhu , Lei Chen , Fanyuan Meng , Chun-Xiao Jia , Run-Ran Liu

Temporal Networks, and more specifically, Markovian Temporal Networks, present a unique challenge regarding the community discovery task. The inherent dynamism of these systems requires an intricate understanding of memory effects and…

Physics and Society · Physics 2026-04-20 Giulio Virginio Clemente , Diego Garlaschelli

The mechanism of the online user preference evolution is of great significance for understanding the online user behaviors and improving the quality of online services. Since users are allowed to rate on objects in many online systems,…

Physics and Society · Physics 2014-09-17 Lei Hou , Xue Pan , Qiang Guo , Jian-Guo Liu

Increasing amounts of data are available on temporal, or time-varying, networks. There have been various representations of temporal network data each of which has different advantages for downstream tasks such as mathematical analysis,…

Physics and Society · Physics 2025-05-09 Chanon Thongprayoon , Naoki Masuda

We provide a framework for modeling social network formation through conditional multinomial logit models from discrete choice and random utility theory, in which each new edge is viewed as a "choice" made by a node to connect to another…

Social and Information Networks · Computer Science 2020-05-22 Jan Overgoor , Austin R. Benson , Johan Ugander

Game theory is fundamental to understanding cooperation between agents. Mainly, the Prisoner's Dilemma is a well-known model that has been extensively studied in complex networks. However, although the emergence of cooperation has been…

Physics and Society · Physics 2023-01-04 Nastaran Lotfi , Francisco A. Rodrigues

Recent research on temporal networks has highlighted the limitations of a static network perspective for our understanding of complex systems with dynamic topologies. In particular, recent works have shown that i) the specific order in…

Physics and Society · Physics 2017-11-20 Ingo Scholtes , Nicolas Wider , Antonios Garas