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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

We consider a class of random, weighted networks, obtained through a redefinition of patterns in an Hopfield-like model and, by performing percolation processes, we get information about topology and resilience properties of the networks…

Statistical Mechanics · Physics 2015-05-30 Elena Agliari , Claudia Cioli , Enore Guadagnini

Modularity is a key organizing principle in real-world large-scale complex networks. Many real-world networks exhibit modular structures such as transportation infrastructures, communication networks and social media. Having the knowledge…

Physics and Society · Physics 2020-02-26 Eitan Asher , Hillel Sanhedrai , Nagendra K. Panduranga , Reuven Cohen , Shlomo Havlin

Network topology plays a key role in many phenomena, from the spreading of diseases to that of financial crises. Whenever the whole structure of a network is unknown, one must resort to reconstruction methods that identify the least biased…

Data Analysis, Statistics and Probability · Physics 2015-06-09 Rossana Mastrandrea , Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

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

Electrical power grids are vulnerable to cascading failures that can lead to large blackouts. Detection and prevention of cascading failures in power grids is impor- tant. Currently, grid operators mainly monitor the state (loading level)…

Physics and Society · Physics 2015-07-20 Martijn Warnier , Stefan Dulman , Yakup Koç , Eric Pauwels

The interdependency between different network layers is commonly observed in Cyber Physical Systems and communication networks adopting the dissociation of logic and hardware implementation, such as Software Defined Networking and Network…

Networking and Internet Architecture · Computer Science 2019-03-06 Genya Ishigaki , Riti Gour , Jason P. Jue

Power systems are susceptible to natural threats including hurricanes and floods. Modern power grids are also increasingly threatened by cyber attacks. Existing approaches that help improve power system security and resilience may not be…

Systems and Control · Electrical Eng. & Systems 2021-07-08 Hao Huang , Varuneswara Panyam , Mohammad Rasoul Narimani , Astrid Layton , Katherine R. Davis

Core-periphery networks are structures that present a set of central and densely connected nodes, namely the core, and a set of non-central and sparsely connected nodes, namely the periphery. The rich-club refers to a set in which the…

Social and Information Networks · Computer Science 2017-08-25 Matteo Cinelli , Giovanna Ferraro , Antonio Iovanella

It is of paramount importance to uncover influential nodes to control diffusion phenomena in a network. In recent works, there is a growing trend to investigate the role of the community structure to solve this issue. Up to now, the vast…

Social and Information Networks · Computer Science 2022-02-02 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

We apply percolation theory to a recently proposed measure of fragmentation $F$ for social networks. The measure $F$ is defined as the ratio between the number of pairs of nodes that are not connected in the fragmented network after…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yiping Chen , Gerald Paul , Reuven Cohen , Shlomo Havlin , Stephen P. Borgatti , Fredrik Liljeros , H. Eugene Stanley

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

In this paper, a methodology inspired on bond and site percolation methods is applied to the estimation of the resilience against failures in power grids. Our approach includes vulnerability measures with both dynamical and structural…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Cristian Camilo Galindo-González , David Angulo-García , Gustavo Osorio

In the vibrant landscape of AI research, decentralised learning is gaining momentum. Decentralised learning allows individual nodes to keep data locally where they are generated and to share knowledge extracted from local data among…

Machine Learning · Computer Science 2025-07-01 Luigi Palmieri , Chiara Boldrini , Lorenzo Valerio , Andrea Passarella , Marco Conti , János Kertész

Structural network embedding is a crucial step in enabling effective downstream tasks for complex systems that aims to project a network into a lower-dimensional space while preserving similarities among nodes. We introduce a simple and…

Social and Information Networks · Computer Science 2024-12-23 Giuseppe Squillace , Mirco Tribastone , Max Tschaikowski , Andrea Vandin

The human brain is organized in functional modules. Such an organization presents a basic conundrum: modules ought to be sufficiently independent to guarantee functional specialization and sufficiently connected to bind multiple processors…

Biological Physics · Physics 2015-05-27 Lazaros K. Gallos , Hernan A. Makse , Mariano Sigman

We consider the problem of distributionally robust multimodal machine learning. Existing approaches often rely on merging modalities on the feature level (early fusion) or heuristic uncertainty modeling, which downplays modality-aware…

Machine Learning · Computer Science 2025-11-11 Peilin Yang , Yu Ma

A common definition of a robust connection between two nodes in a network such as a communication network is that there should be at least two independent paths connecting them, so that the failure of no single node in the network causes…

Statistical Mechanics · Physics 2008-04-07 M. E. J. Newman , Gourab Ghoshal

Understanding and quantifying node importance is a fundamental problem in network science and engineering, underpinning a wide range of applications such as influence maximization, social recommendation, and network dismantling. Prior…

Social and Information Networks · Computer Science 2026-02-17 Jiahui Gao , Kuang Zhou , Yuchen Zhu , Keyu Wu

We study the design of resilient and reliable communication networks in which a signal can be transferred only up to a limited distance before its quality falls below an acceptable threshold. When excessive signal degradation occurs,…

Machine Learning · Computer Science 2026-02-13 Mohammad Khosravi , Setareh Maghsudi
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