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Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

Systems and Control · Computer Science 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

We present a network-based framework for simulating systemic risk that considers shock propagation in banking systems. In particular, the framework allows the modeller to reflect a top-down framework where a shock to one bank in the system…

Risk Management · Quantitative Finance 2018-11-13 Nadine M Walters , Conrad Beyers , Gusti van Zyl , Rolf van den Heever

There is empirical evidence from a range of disciplines that as the connectivity of a network increases, we observe an increase in the average fitness of the system. But at the same time, there is an increase in the proportion of…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Paul Ormerod , Rich Colbaugh

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…

Power grids, road maps, and river streams are examples of infrastructural networks which are highly vulnerable to external perturbations. An abrupt local change of load (voltage, traffic density, or water level) might propagate in a…

Physics and Society · Physics 2014-05-23 Enys Mones , Nuno A. M. Araújo , Tamás Vicsek , Hans J. Herrmann

We study cascades on a two-layer multiplex network, with asymmetric feedback that depends on the coupling strength between the layers. Based on an analytical branching process approximation, we calculate the systemic risk measured by the…

Physics and Society · Physics 2017-01-24 Rebekka Burkholz , Matt V. Leduc , Antonios Garas , Frank Schweitzer

Networks serve as a tool used to examine the large-scale connectivity patterns in complex systems. Modelling their generative mechanism nonparametrically is often based on step-functions, such as the stochastic block models. These models…

Methodology · Statistics 2024-01-11 Arthur Verdeyme , Sofia C. Olhede

We propose and analyze a graph model to study the connectivity of interdependent networks. Two interdependent networks of arbitrary topologies are modeled as two graphs, where every node in one graph is supported by supply nodes in the…

Discrete Mathematics · Computer Science 2018-09-10 Jianan Zhang , Eytan Modiano

Various networks such as cloud computing, water/gas/electricity networks, wireless sensor networks, transportation networks, and 4G/5G networks, have become an integral part of our daily lives. A binary-state network (BN) is often used to…

Discrete Mathematics · Computer Science 2021-08-03 Wei-Chang Yeh

A probabilistic framework is introduced that represents stylized banking networks and aims to predict the size of contagion events. In contrast to previous work on random financial networks, which assumes independent connections between…

General Finance · Quantitative Finance 2011-10-20 Thomas R. Hurd , James P. Gleeson

Infrastructure networks are increasingly vulnerable to natural hazards and design flaws, making resilience assessment essential. This paper presents a scenario-based framework to evaluate network vulnerability by combining local measures…

Applications · Statistics 2025-04-01 S. Saei , N. Tajik

With the development of neural networks based machine learning and their usage in mission critical applications, voices are rising against the \textit{black box} aspect of neural networks as it becomes crucial to understand their limits and…

Machine Learning · Statistics 2017-08-08 El Mahdi El Mhamdi , Rachid Guerraoui , Sebastien Rouault

The weighted and directed network of countries based on the number of overseas banks is analyzed in terms of its fragility to the banking crisis of one country. We use two different models to describe transmission of shocks, one local and…

Physics and Society · Physics 2014-03-07 Xiaobing Feng , Woo Seong Jo , Beom Jun Kim

Threats on the stability of a financial system may severely affect the functioning of the entire economy, and thus considerable emphasis is placed on the analyzing the cause and effect of such threats. The financial crisis in the current…

Risk Management · Quantitative Finance 2014-10-28 Piotr Berman , Bhaskar DasGupta , Lakshmi Kaligounder , Marek Karpinski

We investigate topologically biased failure in scale-free networks with degree distribution $P(k) \propto k^{-\gamma}$. The probability $p$ that an edge remains intact is assumed to depend on the degree $k$ of adjacent nodes $i$ and $j$…

Disordered Systems and Neural Networks · Physics 2009-11-13 Andre A. Moreira , Jose S. Andrade , Hans J. Herrmann , Joseph O. Indekeu

Just as a herd of animals relies on its robust social structure to survive in the wild, similarly robustness is a crucial characteristic for the survival of a complex network under attack. The capacity to measure robustness in complex…

Networking and Internet Architecture · Computer Science 2008-11-27 Ali Sydney , Caterina Scoglio , Phillip Schumm , Robert Kooij

In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop…

Physics and Society · Physics 2010-09-23 A. Yazdani , P. Jeffrey

We consider a model of two interdependent networks, where every node in one network depends on one or more supply nodes in the other network and a node fails if it loses all of its supply nodes. We develop algorithms to compute the failure…

Data Structures and Algorithms · Computer Science 2021-11-29 Jianan Zhang , Eytan Modiano

Surety bonds are financial agreements between a contractor (principal) and obligee (project owner) to complete a project. However, most large-scale projects involve multiple contractors, creating a network and introducing the possibility of…

Risk Management · Quantitative Finance 2026-04-03 Tamara Broderick , Ali Jadbabaie , Vanessa Lin , Manuel Quintero , Arnab Sarker , Sean R. Sinclair

Networked systems are susceptible to cascading failures, where the failure of an initial set of nodes propagates through the network, often leading to system-wide failures. In this work, we propose a multiplex flow network model to study…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Orkun İrsoy , Osman Yağan
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