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Multiple scales coexist in complex networks. However, the small world property makes them strongly entangled. This turns the elucidation of length scales and symmetries a defiant challenge. Here, we define a geometric renormalization group…

Disordered Systems and Neural Networks · Physics 2018-07-04 Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

Resilience of cyber-physical networks to unexpected failures is a critical need widely recognized across domains. For instance, power grids, telecommunication networks, transportation infrastructures and water treatment systems have all…

Systems and Control · Electrical Eng. & Systems 2024-02-19 Jean-Baptiste Bouvier , Sai Pushpak Nandanoori , Melkior Ornik

Due to the complexity of the human body, most diseases present a high inter-personal variability in the way they manifest, i.e. in their phenotype, which has important clinical repercussions - as for instance the difficulty in defining…

Physics and Society · Physics 2018-06-06 Massimiliano Zanin , Juan Manuel Tuñas , Ernestina Menasalvas

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

Networks in nature do not act in isolation but instead exchange information, and depend on each other to function properly. An incipient theory of Networks of Networks have shown that connected random networks may very easily result in…

Much of contemporary systems biology owes its success to the abstraction of a network, the idea that diverse kinds of molecular, cellular, and organismal species and interactions can be modeled as relational nodes and edges in a graph of…

Molecular Networks · Quantitative Biology 2017-05-26 Joseph L. Natale , David Hofmann , Damian G. Hernández , Ilya Nemenman

In our daily lives, we rely on the proper functioning of supply networks, from power grids to water transmission systems. A single failure in these critical infrastructures can lead to a complete collapse through a cascading failure…

Physics and Society · Physics 2021-06-03 Franz Kaiser , Vito Latora , Dirk Witthaut

A key objective of the smart grid is to improve reliability of utility services to end users. This requires strengthening resilience of distribution networks that lie at the edge of the grid. However, distribution networks are exposed to…

Systems and Control · Computer Science 2016-11-18 Yun Wei , Chuanyi Ji , Floyd Galvan , Stephen Couvillon , George Orellana , James Momoh

Network systems are one of the most active research areas in the engineering community as they feature a paradigm shift from centralized to distributed control and computation. When dealing with network systems, a fundamental challenge is…

Systems and Control · Computer Science 2018-02-26 D. Senejohnny , S. Sundaram , C. De Persis , P. Tesi

The meaning of 5G is still a subject of discussion in the industry. However, the softwarization of networks is expected to shape the design, operation and management of 5G networks. The opportunity is then crucial for Telcos, vendors and IT…

Networking and Internet Architecture · Computer Science 2015-07-13 José Sánchez , Imen Grida Ben Yahia , Noël Crespi , Tinku Rasheed , Domenico Siracusa

Control of complex processes is a major goal of network analyses. Most approaches to control nonlinearly coupled systems require the network topology and/or network dynamics. Unfortunately, neither the full set of participating nodes nor…

Molecular Networks · Quantitative Biology 2014-12-23 Jason Shulman , Frank Malatino , Alexander Mo , Killian Ryan , Gemunu H. Gunaratne

In a topological structure affected by geographical constraints on liking, the connectivity is weakened by constructing local stubs with small cycles, a something of randomness to bridge them is crucial for the robust network design. In…

Computational Physics · Physics 2009-11-13 Y. Hayashi , J. Matsukubo

Many systems on our planet are known to shift abruptly and irreversibly from one state to another when they are forced across a "tipping point," such as mass extinctions in ecological networks, cascading failures in infrastructure systems,…

Quantitative Methods · Quantitative Biology 2022-05-23 Xueming Liu , Daqing Li , Manqing Ma , Boleslaw K. Szymanski , H Eugene Stanley , Jianxi Gao

In the real world, the stable operation of a network is usually inseparable from the mutual support of other networks. In such an interdependent network, a node in one layer may depend on multiple nodes in another layer, forming a complex…

Social and Information Networks · Computer Science 2025-09-30 Cheng Qian , Dandan Zhao , Bo Zhang , Ming Zhong , Jianmin Han , Shenghong Li , Hao Peng , Wei Wang

Single node failures represent more than 85% of all node failures in the today's large communication networks such as the Internet. Also, these node failures are usually transient. Consequently, having the routing paths globally recomputed…

Data Structures and Algorithms · Computer Science 2008-10-21 Amit M Bhosle , Teofilo F Gonzalez

This article investigates the performance of grid computing systems whose interconnections are given by random and scale-free complex network models. Regular networks, which are common in parallel computing architectures, are also used as a…

Statistical Mechanics · Physics 2009-11-10 Luciano da Fontoura Costa , Gonzalo Travieso , Carlos Antonio Ruggiero

The connectivity properties of a weight-bearing network are exploited to enhance it's capacity. We study a 2-d network of sites where the weight-bearing capacity of a given site depends on the capacities of the sites connected to it in the…

Condensed Matter · Physics 2009-11-10 T. M. Janaki , Neelima Gupte

A key quality of any kind of system is its ability to deliver its respective service correctly. Often the unavailability of commercial systems may lead to lost revenue, which are minor compared to what may be at stake when critical…

Networking and Internet Architecture · Computer Science 2023-08-31 Armin Stocker , Hermann de Meer

The vulnerability of networks to targeted attacks is an issue of widespread interest for policymakers, military strategists, network engineers and systems biologists alike. Current approaches to circumvent targeted attacks seek to increase…

Molecular Networks · Quantitative Biology 2021-09-28 Sai Saranga Das M , Karthik Raman

This work studies how to preemptively increase the resilience of a network by means of time-varying topological actuation. To do this, we focus on linear dynamical systems that are compatible with a given network, and consider policies that…

Optimization and Control · Mathematics 2026-02-24 Fei Chen , Jorge Cortés , Sonia Martínez