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In many real, directed networks, the strongly connected component of nodes which are mutually reachable is very small. This does not fit with current theory, based on random graphs, according to which strong connectivity depends on mean…

Disordered Systems and Neural Networks · Physics 2023-04-12 Niall Rodgers , Peter Tino , Samuel Johnson

The structure of real-world multilayer infrastructure systems usually exhibits anisotropy due to constraints of the embedding space. For example, geographical features like mountains, rivers and shores influence the architecture of critical…

Physics and Society · Physics 2021-11-17 Dana Vaknin , Amir Bashan , Lidia A. Braunstein , Sergey V. Buldyrev , Shlomo Havlin

While network abrupt breakdowns due to overloads and cascading failures have been studied extensively, the critical exponents and the universality class of such phase transitions have not been discussed. Here, we study breakdowns triggered…

Physics and Society · Physics 2024-03-07 Ignacio A. Perez , Dana Ben Porath , Cristian E. La Rocca , Lidia A. Braunstein , Shlomo Havlin

Social movements, neurons in the brain or even industrial suppliers are best described by agents evolving on networks with basic interaction rules. In these real systems, the connectivity between agents corresponds to the a critical state…

Physics and Society · Physics 2007-05-23 Philippe Curty

The paper examines the learning mechanism of adaptive agents over weakly-connected graphs and reveals an interesting behavior on how information flows through such topologies. The results clarify how asymmetries in the exchange of data can…

Multiagent Systems · Computer Science 2015-12-08 Bicheng Ying , Ali H. Sayed

Recently much attention has been paid to the study of the robustness of interdependent and multiplex networks and, in particular, networks of networks. The robustness of interdependent networks can be evaluated by the size of a mutually…

Statistical Mechanics · Physics 2015-06-18 Ginestra Bianconi , Sergey N. Dorogovtsev

Many critical infrastructure systems have network structure and are under stress. Despite their national importance, the complexity of large-scale transport networks means we do not fully understand their vulnerabilities to cascade…

Much of the analysis of economic growth has focused on the study of aggregate output. Here, we deviate from this tradition and look instead at the structure of output embodied in the network connecting countries to the products that they…

General Finance · Quantitative Finance 2012-03-02 Ricardo Hausmann , Cesar A. Hidalgo

The dynamics of an agreement protocol interacting with a disagreement process over a common random network is considered. The model can represent the spreading of true and false information over a communication network, the propagation of…

Social and Information Networks · Computer Science 2012-08-17 Guodong Shi , Mikael Johansson , Karl Henrik Johansson

Modern urban resilience is threatened by cascading failures in multimodal transport networks, where localized shocks trigger widespread paralysis. Existing models, limited by their focus on pairwise interactions, often underestimate this…

Social and Information Networks · Computer Science 2025-09-18 Jinghua Song , Yuan Wang , Zimo Yan

Complex networks are a great tool for simulating the outcomes of different strategies used within the iterated prisoners' dilemma game. However, because the strategies themselves rely on the connection between nodes, then initial network…

Physics and Society · Physics 2022-08-30 Louis Zhao , Chen Ye Gan , Minglu Zhao

We study a model for cascade effects over finite networks based on a deterministic binary linear threshold model. Our starting point is a networked coordination game where each agent's payoff is the sum of the payoffs coming from pairwise…

Discrete Mathematics · Computer Science 2013-01-04 Elie M. Adam , Munther A. Dahleh , Asuman Ozdaglar

Ideas, behaviors, and opinions spread through social networks. If the probability of spreading to a new individual is a non-linear function of the fraction of the individuals' affected neighbors, such a spreading process becomes a "complex…

Physics and Society · Physics 2023-08-30 Julian Kates-Harbeck , Michael M. Desai

Urban systems, composed of households, businesses, and infrastructures, are continuously evolving and expanding. This has several implications because the impacts of disruptions, and the complexity and interdependence of systems, are…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Mateusz Iwo Dubaniowski , Hans R. Heinimann

In interdependent networks, it is usually assumed, based on percolation theory, that nodes become nonfunctional if they lose connection to the network giant component. However, in reality, some nodes, equipped with alternative resources,…

Physics and Society · Physics 2017-07-05 Xin Yuan , Yanqing Hu , H. Eugene Stanley , Shlomo Havlin

If we add links to a network at random, a critical threshold can be crossed where a giant connected component forms. Conversely, if links or nodes are removed at random, the giant component shrinks and eventually breaks. In this paper, we…

Physics and Society · Physics 2023-11-07 Laura Barth , Thilo Gross

Many real-world complex networks contain a significant amount of structural redundancy, in which multiple vertices play identical topological roles. Such redundancy arises naturally from the simple growth processes which form and shape many…

Physics and Society · Physics 2020-08-05 Ben D. MacArthur , Rubén J. Sánchez-García

In multi-agent systems, cooperative behavior is largely determined by the network structure which dictates the interactions among neighboring agents. These interactions often exhibit multidimensional features, either as relationships of…

Populations and Evolution · Quantitative Biology 2018-05-24 Viktor Stojkoski , Zoran Utkovski , Elisabeth Andre , Ljupco Kocarev

Many systems, ranging from engineering to medical to societal, can only be properly characterized by multiple interdependent networks whose normal functioning depends on one another. Failure of a fraction of nodes in one network may lead to…

Disordered Systems and Neural Networks · Physics 2015-05-13 Sergey V. Buldyrev , Roni Parshani , Gerald Paul , H. Eugene Stanley , Shlomo Havlin

How does social network structure amplify or stifle behavior diffusion? Existing theory suggests that when social reinforcement makes the adoption of behavior more likely, it should spread more -- both farther and faster -- on clustered…

Social and Information Networks · Computer Science 2025-07-11 Allison Wan , Christoph Riedl , David Lazer