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Models of epidemic spreading on complex networks have attracted great attention among researchers in physics, mathematics, and epidemiology due to their success in predicting and controlling scenarios of epidemic spreading in real-world…

Physics and Society · Physics 2017-02-09 Wei Wang , Ming Tang , H. Eugene Stanley , Lidia A. Braunstein

Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

Social and Information Networks · Computer Science 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

The exploration of epidemic dynamics on dynamically evolving ("adaptive") networks poses nontrivial challenges to the modeler, such as the determination of a small number of informative statistics of the detailed network state (that is, a…

Quantitative Methods · Quantitative Biology 2015-07-07 Assimakis A. Kattis , Alexander Holiday , Ana-Andreea Stoica , Ioannis G. Kevrekidis

In communication networks structure and dynamics are tightly coupled. The structure controls the flow of information and is itself shaped by the dynamical process of information exchanged between nodes. In order to reconcile structure and…

Physics and Society · Physics 2013-04-08 Jan O. Haerter , Bjorn Jamtveit , Joachim Mathiesen

Many real-world phenomena can be modelled as dynamical processes on networks, a prominent example being the spread of infectious diseases such as COVID-19. Mean-field approximations are a widely used tool to analyse such dynamical processes…

Probability · Mathematics 2025-08-25 Jonathan A. Ward , Gábor Timár , Péter L. Simon

The spread of new ideas, behaviors or technologies has been extensively studied using epidemic models. Here we consider a model of diffusion where the individuals' behavior is the result of a strategic choice. We study a simple coordination…

Probability · Mathematics 2015-03-17 Marc Lelarge

The article considers systems of interacting particles on networks with adaptively coupled dynamics. Such processes appear frequently in natural processes and applications. Relying on the notion of graph convergence, we prove that for large…

Dynamical Systems · Mathematics 2026-05-20 Sebastian Throm

Recent studies have investigated various dynamic processes characterizing collective behaviors in real-world systems. However, these dynamics have been studied individually in specific contexts. In this article, we present a holistic…

Applied Physics · Physics 2025-01-28 Ming Xie , Shibo He , Aming Li , Zike Zhang , Youxian Sun , Jiming Chen

The increasing prominence of temporal networks in online social platforms and dynamic communication systems has made influence maximization a critical research area. Various diffusion models have been proposed to capture the spread of…

Social and Information Networks · Computer Science 2025-07-31 Aaqib Zahoor , Iqra Altaf Gillani , Janibul Bashir

Dynamical processes taking place on real networks define on them evolving subnetworks whose topology is not necessarily the same of the underlying one. We investigate the problem of determining the emerging degree distribution, focusing on…

Physics and Society · Physics 2009-11-13 Luca Dall'Asta

The abundance of models of complex networks and the current insufficient validation standards make it difficult to judge which models are strongly supported by data and which are not. We focus here on likelihood maximization methods for…

Physics and Society · Physics 2014-03-26 Matus Medo

Emerging applications in engineering such as crowd-sourcing and (mis)information propagation involve a large population of heterogeneous users or agents in a complex network who strategically make dynamic decisions. In this work, we…

Computer Science and Game Theory · Computer Science 2015-03-30 Yezekael Hayel , Quanyan Zhu

Our ability to manipulate the behavior of complex networks depends on the design of efficient control algorithms and, critically, on the availability of an accurate and tractable model of the network dynamics. While the design of control…

Systems and Control · Electrical Eng. & Systems 2021-04-28 Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

We present a general holistic theory for the organization of complex networks, both human-engineered and naturally-evolved. Introducing concepts of value of interactions and satisfaction as generic network performance measures, we show that…

Adaptation and Self-Organizing Systems · Physics 2007-07-13 Venkat Venkatasubramanian , Dimitris N. Politis , Priyan R. Patkar

As experiments advance to record from tens of thousands of neurons, statistical physics provides a framework for understanding how collective activity emerges from networks of fine-scale correlations. While modeling these populations is…

Biological Physics · Physics 2024-12-25 David P. Carcamo , Christopher W. Lynn

Influence maximization is the task of selecting a small number of seed nodes in a social network to maximize the influence spread from these seeds. It has been widely investigated in the past two decades. In the canonical setting, the…

Social and Information Networks · Computer Science 2022-02-21 Zhijie Zhang , Wei Chen , Xiaoming Sun , Jialin Zhang

We present a thorough inspection of the dynamical behavior of epidemic phenomena in populations with complex and heterogeneous connectivity patterns. We show that the growth of the epidemic prevalence is virtually instantaneous in all…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

A diffusion process on complex networks is introduced in order to uncover their large scale topological structures. This is achieved by focusing on the slowest decaying diffusive modes of the network. The proposed procedure is applied to…

Statistical Mechanics · Physics 2009-11-10 Ingve Simonsen , Kasper Astrup Eriksen , Sergei Maslov , Kim Sneppen

Polarization is a well-documented phenomenon across a wide range of social issues. However, prevailing theories often compartmentalize the examination of herding behavior and opinion convergence within different contexts. In this study, we…

Theoretical Economics · Economics 2024-05-03 Ugo Bolletta , Paolo Pin

This paper proposes models of learning process in teams of individuals who collectively execute a sequence of tasks and whose actions are determined by individual skill levels and networks of interpersonal appraisals and influence. The…

Social and Information Networks · Computer Science 2016-10-03 Wenjun Mei , Noah E. Friedkin , Kyle Lewis , Francesco Bullo
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