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Modern network-like systems are usually coupled in such a way that failures in one network can affect the entire system. In infrastructures, biology, sociology, and economy, systems are interconnected and events taking place in one system…

Data Analysis, Statistics and Probability · Physics 2010-12-02 S. Havlin , N. A. M. Araujo , S. V. Buldyrev , C. S. Dias , R. Parshani , G. Paul , H. E. Stanley

Our current world is linked by a complex mesh of networks where information, people and goods flow. These networks are interdependent each other, and present structural and dynamical features different from those observed in isolated…

Physics and Society · Physics 2013-11-13 Filippo Radicchi , Alex Arenas

In the modeling, monitoring, and control of complex networks, a fundamental problem concerns the comprehensive determination of the state of the system from limited measurements. Using power grids as example networks, we show that this…

Physics and Society · Physics 2013-01-28 Yang Yang , Jianhui Wang , Adilson E. Motter

Functional connectivity is a fundamental property of neural networks that quantifies the segregation and integration of information between cortical areas. Due to mathematical complexity, a theory that could explain how the parameters of…

Neurons and Cognition · Quantitative Biology 2016-05-27 Diego Fasoli , Anna Cattani , Stefano Panzeri

Many real-world infrastructures, from sensor and road networks to power grids, are spatially embedded and anisotropic, with constraints on the maximum number of links each node can establish. Such systems can be represented as anisotropic…

Community identification of network components enables us to understand the mesoscale clustering structure of networks. A number of algorithms have been developed to determine the most likely community structures in networks. Such a…

Physics and Society · Physics 2019-08-20 Heetae Kim , Sang Hoon Lee

We study fundamental characteristics for the connectivity of multi-hop D2D networks. Devices are randomly distributed on street systems and are able to communicate with each other whenever their separation is smaller than some connectivity…

Networking and Internet Architecture · Computer Science 2018-02-01 Elie Cali , Nila Novita Gafur , Christian Hirsch , Benedikt Jahnel , Taoufik En-Najjary , Robert I. A. Patterson

The compartmental model is a basic tool for studying signal propagation in neurons, and, if the model parameters are adequately defined, it can also be of help in the study of electrical or fluid transport. Here we show that the input…

Cell Behavior · Quantitative Biology 2007-05-23 E. Louis C. Degli Esposti Boschi G. J. Ortega E. Fernandez

In the last two decades, network science has blossomed and influenced various fields, such as statistical physics, computer science, biology and sociology, from the perspective of the heterogeneous interaction patterns of components…

Physics and Society · Physics 2021-04-20 Ming Li , Run-Ran Liu , Linyuan Lü , Mao-Bin Hu , Shuqi Xu , Yi-Cheng Zhang

The study of interdependent networks, and in particular the robustness on networks, has attracted considerable attention. Recent studies mainly assume that the dependence is fully interdependent. However, targeted attack for partially…

Data Analysis, Statistics and Probability · Physics 2015-05-30 Gao-Gao Dong , Jian-Xi Gao , Li-Xin Tian , Rui-Jin Du , Ying-Huan He

K-core and bootstrap percolation are widely studied models that have been used to represent and understand diverse deactivation and activation processes in natural and social systems. Since these models are considerably similar, it has been…

Physics and Society · Physics 2019-02-26 M. A. Di Muro , L. D. Valdez , S. V. Buldyrev , H. E. Stanley , L. A. Braunstein

One of the most central questions in network science is: which nodes are most important? Often this question is answered using structural properties such as high connectedness or centrality in the network. However, static structural…

Physics and Society · Physics 2021-07-02 Casper van Elteren , Rick Quax , Peter Sloot

Detecting and characterizing community structure plays a crucial role in the study of networked systems. However, there is still a lack of understanding of how community structure affects the systems' resilience and stability. Here, we…

Two stochastic models are proposed to generate a system composed of two interdependent scale-free (SF) or Erd\H{o}s-R\'{e}nyi (ER) networks where interdependent nodes are connected with exponential or power-law relation, as well as…

Physics and Society · Physics 2015-06-18 J. Jiang , W. Li , X. Cai

Many infrastructure networks have a modular structure and are also interdependent. While significant research has explored the resilience of interdependent networks, there has been no analysis of the effects of modularity. Here we develop a…

Physics and Society · Physics 2016-01-20 Louis Shekhtman , Saray Shai , Shlomo Havlin

In this paper we explore the evolution of transport capacity on networks with stochastic incidence of damage and accumulation of faults in their connections. For each damaged configuration of the network, we analyze a Markovian random…

Physics and Society · Physics 2019-09-05 A. P. Riascos , J. Wang-Michelitsch , T. M. Michelitsch

The emergence of large-scale connectivity and synchronization are crucial to the structure, function and failure of many complex socio-technical networks. Thus, there is great interest in analyzing phase transitions to large-scale…

Physics and Society · Physics 2019-10-02 Raissa M. D'Souza , Jesus Gómez-Gardeñes , Jan Nagler , Alex Arenas

Recent studies have shown that a system composed from several randomly interdependent networks is extremely vulnerable to random failure. However, real interdependent networks are usually not randomly interdependent, rather a pair of…

Data Analysis, Statistics and Probability · Physics 2015-05-20 Roni Parshani , Celine Rozenblat , Daniele Ietri , Cesar Ducruet , Shlomo Havlin

Resilient intermodal freight networks are vital for sustaining supply chains amid increasing threats from natural hazards and cyberattacks. While transportation resilience has been widely studied, understanding how random and targeted…

Physics and Society · Physics 2026-01-06 Aliza Sharmin , Bharat Sharma , Mustafa Can Camur , Olufemi A. Omitaomu , Xueping Li

A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. Assuming that the nodes of the wireless network are distributed as a…

Information Theory · Computer Science 2016-11-17 Rahul Vaze