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An input-output approach to stability analysis is explored for networked systems with uncertain link dynamics. The main result consists of a collection of integral quadratic constraints, which together imply robust stability of the…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Simone Mariano , Michael Cantoni

Most models of complex systems have been homogeneous, i.e., all elements have the same properties (spatial, temporal, structural, functional). However, most natural systems are heterogeneous: few elements are more relevant, larger,…

Adaptation and Self-Organizing Systems · Physics 2025-12-22 Amahury Jafet López-Díaz , Fernanda Sánchez-Puig , Carlos Gershenson

Echo chamber effects in social networks are generally attributed to the prevalence of interactions among like-minded peers. However, recent evidence has emphasized the role of hostile interactions between opposite-minded groups. We…

Physics and Society · Physics 2025-02-06 Antoine Vendeville , Fernando Diaz-Diaz

Network theory provides a rich toolbox consisting of methods, measures, and models for studying the structure and dynamics of complex systems found in nature, society, or technology. Recently, it has been pointed out that many real-world…

Physics and Society · Physics 2016-04-07 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Jürgen Kurths

The structure of personal networks reflects how we organise and maintain social relationships. The distribution of tie strengths in personal networks is heterogeneous, with a few close, emotionally intense relationships and a larger number…

Physics and Society · Physics 2024-03-29 Sara Heydari , Gerardo Iñiguez , János Kertész , Jari Saramäki

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

We examine settings in which agents choose behaviors and care about their neighbors' behaviors, but have incomplete information about the network in which they are embedded. We develop a model in which agents use local knowledge of their…

Theoretical Economics · Economics 2024-12-04 Promit K. Chaudhuri , Matthew O. Jackson , Sudipta Sarangi , Hector Tzavellas

One explanation for the impressive recent boom in network theory might be that it provides a promising tool for an understanding of complex systems. Network theory is mainly focusing on discrete large-scale topological structures rather…

Statistical Mechanics · Physics 2015-06-25 Stefan Thurner

Previous network models have imagined that connections change to promote structural balance, or to reflect hierarchies. We propose a model where agents adjust their connections to appear credible to an external observer. In particular, we…

Social and Information Networks · Computer Science 2019-06-05 Joel Nishimura , Oscar Goodloe

Heterogeneous networks play a key role in the evolution of communities and the decisions individuals make. These networks link different types of entities, for example, people and the events they attend. Network analysis algorithms usually…

Computers and Society · Computer Science 2016-11-17 Rumi Ghosh , Kristina Lerman

Over the past decade network theory has been applied successfully to the study of a variety of complex adaptive systems. However, the application of these techniques to non-human social networks has several shortfalls. Firstly, in most…

Populations and Evolution · Quantitative Biology 2009-03-10 David Lusseau , Hal Whitehead , Shane Gero

This paper develops strategic foundations for an important statistical model of random networks with heterogeneous expected degrees. Based on this, we show how social networking services that subtly alter the costs and indirect benefits of…

Applications · Statistics 2010-04-09 Benjamin Golub , Yair Livne

Understanding how cooperation evolves in structured populations remains a fundamental question across diverse disciplines. The problem of cooperation typically involves pairwise or group interactions among individuals. While prior studies…

Physics and Society · Physics 2025-06-26 Dini Wang , Peng Yi , Gang Yan , Feng Fu

Prediction and control of spreading processes in social networks (SNs) are closely tied to the underlying connectivity patterns. Contrary to most existing efforts that exclusively focus on positive social user interactions, the impact of…

Social and Information Networks · Computer Science 2022-07-28 Temirlan Kalimzhanov , Amir Haji Ali Khamseh'i , Aresh Dadlani , Muthukrishnan Senthil Kumar , Ahmad Khonsari

Traditionally, there is no evidence suggesting that there are strong ties between the rich-club property and the function of complex networks. In this study, we find that whether a very small portion of rich nodes connected to each other or…

Physics and Society · Physics 2015-05-28 Xiao-ke xu , Jie Zhang , Ping Li , Michael Small

Aggregated phenomena in social sciences and economics are highly dependent on the way individuals interact. To help understanding the interplay between socio-economic activities and underlying social networks, this paper studies a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David Chavalarias

In the last 15 years, statistical physics has been a very successful framework to model complex networks. On the theoretical side, this approach has brought novel insights into a variety of physical phenomena, such as self-organisation,…

In recent years, graph-based machine learning techniques, such as reinforcement learning and graph neural networks, have garnered significant attention. While some recent studies have started to explore the relationship between the graph…

Machine Learning · Computer Science 2025-07-15 Yash Arya , Sang Hoon Lee

Biological networks are customarily described as structurally robust. This means that they often function extremely well under large forms of perturbations affecting both the concentrations and the kinetic parameters. In order to explain…

Optimization and Control · Mathematics 2026-02-20 M. Ali Al-Radhawi , David Angeli , Eduardo Sontag

In the past two decades, significant advances have been made in understanding the structural and functional properties of biological networks, via graph-theoretic analysis. In general, most graph-theoretic studies are conducted in the…

Physics and Society · Physics 2013-10-21 Michelle Rudolph-Lilith , Lyle E. Muller