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The threshold model has been widely adopted as a classic model for studying contagion processes on social networks. We consider asymmetric individual interactions in social networks and introduce a persuasion mechanism into the threshold…

Physics and Society · Physics 2016-05-17 Wei-Min Huang , Li-Jie Zhang , Xin-Jian Xu , Xinchu Fu

A central issue in complex networks is tolerance to random failures and intentional attacks. Current literature emphasizes the dichotomy between networks with a power-law node connectivity distribution, which are robust to random failures…

Statistical Mechanics · Physics 2009-11-10 Andre X. C. N. Valente , Abhijit Sarkar , Howard A. Stone

The resiliency of a network is its ability to remain \emph{effectively} functioning also when any of its nodes or links fails. However, to reduce operational and set-up costs, a network should be small in size, and this conflicts with the…

Data Structures and Algorithms · Computer Science 2016-11-07 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

The increasing complexity of cascading risks in urban systems necessitates robust, data-driven frameworks to model interdependencies across multiple domains. This study presents a foundational Bayesian network-based approach for analyzing…

In today's networked society, many real-world problems can be formalized as predicting links in networks, such as Facebook friendship suggestions, e-commerce recommendations, and the prediction of scientific collaborations in citation…

Social and Information Networks · Computer Science 2021-07-06 Xi Chen , Bo Kang , Jefrey Lijffijt , Tijl De Bie

Many real world complex systems such as infrastructure, communication and transportation networks are embedded in space, where entities of one system may depend on entities of other systems. These systems are subject to geographically…

Physics and Society · Physics 2015-03-13 Yehiel Berezin , Amir Bashan , Michael M. Danziger , Daqing Li , Shlomo Havlin

In spiking neural networks an action potential could in principle trigger subsequent spikes in the neighbourhood of the initial neuron. A successful spike is that which trigger subsequent spikes giving rise to cascading behaviour within the…

Adaptation and Self-Organizing Systems · Physics 2015-08-03 Victor Hernandez-Urbina , Tom L. Underwood , J. Michael Herrmann

We investigate certain structural properties of random interdependent networks. We start by studying a property known as $r$-robustness, which is a strong indicator of the ability of a network to tolerate structural perturbations and…

Social and Information Networks · Computer Science 2015-08-18 Ebrahim Moradi Shahrivar , Mohammad Pirani , Shreyas Sundaram

We present efficient and practical algorithms for a large, distributed system of processors to achieve reliable computations in a secure manner. Specifically, we address the problem of computing a general function of several private inputs…

Cryptography and Security · Computer Science 2021-01-29 Donald Rozinak Beaver

With the increasing scale of communication networks, the likelihood of failures grows as well. Since these networks form a critical backbone of our digital society, it is important that they rely on robust routing algorithms which ensure…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-13 Christoph Lenzen , Moti Medina , Mehrdad Saberi , Stefan Schmid

Networks are useful descriptions of the structure of many complex systems. Unsurprisingly, it is thus important to analyze the robustness of networks in many scientific disciplines. In applications in communication, logistics, finance,…

Physics and Society · Physics 2024-09-16 Alice C. Schwarze , Jessica Jiang , Jonny Wray , Mason A. Porter

Motivated by the scalability problem in large networks, we study stability of a network of infinitely many finite-dimensional subsystems. We develop a so-called relaxed small-gain theorem for input-to-state stability (ISS) with respect to a…

Dynamical Systems · Mathematics 2020-11-24 Navid Noroozi , Andrii Mironchenko , Fabian R. Wirth

The problem of cascading failures in cyber-physical systems is drawing much attention in lieu of different network models for a diverse range of applications. While many analytic results have been reported for the case of large networks,…

Social and Information Networks · Computer Science 2014-10-15 Ali Eslami , Chuan Huang , Junshan Zhang , Shuguang Cui

Power systems are critical infrastructure for reliable and secure electric energy delivery. Incidents are increasing, as unexpected multiple hazards ranging from natural disasters to cyberattacks threaten the security and functionality of…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Hao Huang , Zeyu Mao , Varuneswara Panyam , Astrid Layton , Katherine Davis

Information spreads across social and technological networks, but often the network structures are hidden from us and we only observe the traces left by the diffusion processes, called cascades. Can we recover the hidden network structures…

Social and Information Networks · Computer Science 2014-05-14 Hadi Daneshmand , Manuel Gomez-Rodriguez , Le Song , Bernhard Schoelkopf

Large but rare cascades triggered by small initial shocks are present in most of the infrastructure networks. Here we present a simple model for cascading failures based on the dynamical redistribution of the flow on the network. We show…

Other Condensed Matter · Physics 2009-11-10 Paolo Crucitti , Vito Latora , Massimo Marchiori

We investigate robustness of correlated networks against propagating attacks modeled by a susceptible-infected-removed model. By Monte-Carlo simulations, we numerically determine the first critical infection rate, above which a global…

Physics and Society · Physics 2012-08-03 Takehisa Hasegawa , Keita Konno , Koji Nemoto

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

The Internet of Energy (IoE) integrates IoT-driven digital communication with power grids to enable efficient and sustainable energy systems. Still, its interconnectivity exposes critical infrastructure to sophisticated cyber threats,…

Cryptography and Security · Computer Science 2025-10-09 Guan-Yan Yang , Jui-Ning Chen , Farn Wang , Kuo-Hui Yeh

Modeling how networks change under structural perturbations can yield foundational insights into network robustness, which is critical in many real-world applications. The largest connected component is a popular measure of network…

Physics and Society · Physics 2025-09-30 Jessica Jiang , Allison C. Zhuang , Petter Holme , Peter J. Mucha , Alice C. Schwarze
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