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Connectivity is one of the most fundamental properties of wireless multi-hop networks. A network is said to be connected if there is a path between any pair of nodes. A convenient way to study the connectivity of a random network is by…

Information Theory · Computer Science 2012-10-08 Guoqiang Mao , Brian DO Anderson

In this paper we study a simple cascading process in a structured heterogeneous population, namely, a network composed of two loosely coupled communities. We demonstrate that under certain conditions the cascading dynamics in such a network…

Statistical Mechanics · Physics 2008-03-14 Aram Galstyan , Paul Cohen

In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

The mechanisms underlying cascading failures are often modeled via the paradigm of self-organized criticality. Here we introduce a simple model where nodes self-organize to be either weak or strong to failure which captures the trade-off…

Physics and Society · Physics 2018-09-12 Yuansheng Lin , Keith Burghardt , Martin Rohden , Pierre-André Noël , Raissa M. D'Souza

In this study, we propose an extended Watts model to examine the effect of initiators on information cascades. The extended Watts model assumes that nodes with connections to initiators have low adoption thresholds than other nodes, due to…

Physics and Society · Physics 2022-12-01 Shinji Nishioka , Takehisa Hasegawa

Using the linearized DC power flow model, we study cascading failures and their spatial and temporal properties in the US Western Interconnect (USWI) power grid. We also introduce the preferential Degree And Distance Attachment (DADA)…

Physics and Society · Physics 2016-09-26 Russell Spiewak , Sergey V. Buldyrev , Yakir Forman , Saleh Soltan , Gil Zussman

Simple binary-state coordination models are widely used to study collective socio-economic phenomena such as the spread of innovations or the adoption of products on social networks. The common trait of these systems is the occurrence of…

Physics and Society · Physics 2021-12-08 Luca Dall'Asta

A significant amount of society's infrastructure can be modeled using graph structures, from electric and communication grids, to traffic networks, to social networks. Each of these domains are also susceptible to the cascading spread of…

Social and Information Networks · Computer Science 2024-04-24 James D. Cunningham , Conrad S. Tucker

Real-world complex systems always interact with each other, which causes these systems to collapse in an avalanche or cascading manner in the case of random failures or malicious attacks. The robustness of multilayer networks has attracted…

Physics and Society · Physics 2019-11-14 Wen-Jun Jiang , Run-Ran Liu , Chun-Xiao Jia

Recent advances in spatial and temporal networks have enabled researchers to more-accurately describe many real-world systems such as urban transport networks. In this paper, we study the response of real-world spatio-temporal networks to…

Physics and Society · Physics 2016-07-05 Matthew J. Williams , Mirco Musolesi

We introduce an evolving network model in which a new node attaches to a randomly selected target node and also to each of its neighbors with probability $p$. The resulting network is sparse for $p<\frac{1}{2}$ and dense (average degree…

Physics and Society · Physics 2016-11-23 R. Lambiotte , P. L. Krapivsky , U. Bhat , S. Redner

Complex socioeconomic networks such as information, finance and even terrorist networks need resilience to cascades - to prevent the failure of a single node from causing a far-reaching domino effect. We show that terrorist and guerrilla…

Combinatorics · Mathematics 2010-11-23 Alexander Gutfraind

Network robustness is an essential system property to sustain functionality in the face of failures or targeted attacks. Currently, only the connectivity of the nodes unaffected by an attack is utilized to assess robustness. We propose to…

Physics and Society · Physics 2023-01-18 Marcus Engsig , Alejandro Tejedor , Yamir Moreno

Random networks are a powerful tool in the analytical modeling of complex networks as they allow us to write approximate mathematical models for diverse properties and behaviors of networks. One notable shortcoming of these models is that…

Physics and Society · Physics 2023-07-10 Laurent Hébert-Dufresne , Márton Pósfai , Antoine Allard

Using a generalized random recurrent neural network model, and by extending our recently developed mean-field approach [J. Aljadeff, M. Stern, T. Sharpee, Phys. Rev. Lett. 114, 088101 (2015)], we study the relationship between the network…

Disordered Systems and Neural Networks · Physics 2016-02-09 Johnatan Aljadeff , David Renfrew , Marina Vegué , Tatyana O. Sharpee

We explore the robustness of complex networks against physical damage. We focus on spatially embedded network models and datasets where links are physical objects or physically transfer some quantity, which can be disrupted at any point…

Statistical Mechanics · Physics 2024-12-13 Luka Blagojević , Ivan Bonamassa , Márton Pósfai

Motivated by reliability of networks in critical infrastructures, we consider optimal robustness of a class of flow networks against a \textit{targeted} attack, namely max-load targeted attack, that triggers cascading failures due to…

Physics and Society · Physics 2019-03-28 Omur Ozel , Bruno Sinopoli , Osman Yagan

We study the effectiveness of recovery strategies for a dynamic model of failure spreading in networks. These strategies control the distribution of resources based on information about the current network state and network topology. In…

Physics and Society · Physics 2009-11-13 Lubos Buzna , Karsten Peters , Hendrik Ammoser , Christian Kuehnert , Dirk Helbing

This paper centers on the comparison of three different models that describe cascading failures of power systems. Specifically, these models are different in characterizing the physical properties of power networks and computing the branch…

Optimization and Control · Mathematics 2017-08-01 Chao Zhai , Hehong Zhang , Gaoxi Xiao , Tso-Chien Pan

In this work, cascading transmission line failures are studied through a dynamical model of the power system operating under fixed conditions. The power grid is modeled as a stochastic dynamical system where first-principles…

Systems and Control · Electrical Eng. & Systems 2019-12-18 Jacob Roth , David A. Barajas-Solano , Panos Stinis , Jonathan Weare , Mihai Anitescu