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Multilayer networks describe well many real interconnected communication and transportation systems, ranging from computer networks to multimodal mobility infrastructures. Here, we introduce a model in which the nodes have a limited…

Physics and Society · Physics 2018-02-22 Sabato Manfredi , Edmondo Di Tucci , Vito Latora

Terrorist attacks on transportation networks have traumatized modern societies. With a single blast, it has become possible to paralyze airline traffic, electric power supply, ground transportation or Internet communication. How and at…

Physics and Society · Physics 2011-03-10 Christian M. Schneider , Andre A. Moreira , Jose S. Andrade , Shlomo Havlin , Hans J. Herrmann

We consider a multi-layer network with two layers, $\mathcal{L}_{1}$, $\mathcal{L}_{2}$. Their intra-layer topology shows a scale-free degree distribution and a core-periphery structure. A nested structure describes the inter-layer…

Physics and Society · Physics 2019-11-11 Giona Casiraghi , Antonios Garas , Frank Schweitzer

The smart grid is a large-scale complex system that integrates communication technologies with the physical layer operation of the energy systems. Security and resilience mechanisms by design are important to provide guarantee operations…

Systems and Control · Computer Science 2018-10-02 Quanyan Zhu

On the basis of structural model of intersystem interactions, the main local and global structural characteristics of nodes of the multilayer network (MLN) are determined. The notions of weighted and binary aggregate-networks of MLN are…

Physics and Society · Physics 2022-11-29 Olexandr Polishchuk

Many complex systems can be represented as networks composed by distinct layers, interacting and depending on each others. For example, in biology, a good description of the full protein-protein interactome requires, for some organisms, up…

Physics and Society · Physics 2015-04-24 M. De Domenico , V. Nicosia , A. Arenas , V. Latora

Real world complex networks often exhibit multiplex structure, connecting entities from different aspects of physical systems such as social, transportation and biological networks. Little is known about general properties of such networks…

Social and Information Networks · Computer Science 2019-11-28 Blaž Škrlj , Benjamin Renoust

Multilayer networks preserve full information about the different interactions among the constituents of a complex system, and have recently proven quite useful in modelling transportation networks, social circles, and the human brain. A…

Physics and Society · Physics 2020-06-29 Andrea Santoro , Vincenzo Nicosia

Networks are known to be prone to link failures. In this paper we set out to investigate how networks of varying connectivity patterns respond to different link failure schemes in terms of connectivity, clustering coefficient and shortest…

Physics and Society · Physics 2016-08-14 Serdar Çolak , Hilmi Luş , Ali Rana Atılgan

Complex network infrastructure systems for power-supply, communication, and transportation support our economical and social activities, however they are extremely vulnerable against the frequently increasing large disasters or attacks.…

Physics and Society · Physics 2022-04-05 Yukio Hayashi , Atsushi Tanaka , Jun Matsukubo

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

Large language model-based multi-agent systems have shown great abilities across various tasks due to the collaboration of expert agents, each focusing on a specific domain. However, the impact of clumsy or even malicious agents--those who…

Artificial Intelligence · Computer Science 2025-05-30 Jen-tse Huang , Jiaxu Zhou , Tailin Jin , Xuhui Zhou , Zixi Chen , Wenxuan Wang , Youliang Yuan , Michael R. Lyu , Maarten Sap

Many existing deep learning models are vulnerable to adversarial examples that are imperceptible to humans. To address this issue, various methods have been proposed to design network architectures that are robust to one particular type of…

Machine Learning · Computer Science 2021-01-19 Jia Liu , Yaochu Jin

We explore the resiliency and robustness of systems while viewing them as complex, multi-genre networks. The term "complex, multi-genre networks" refers to networks that combine several distinct genres - networks of physical resources,…

Social and Information Networks · Computer Science 2016-01-26 Alexander Kott , Tarek Abdelzaher

Multilayer systems are coupled networks characterized by different contexts (layers) of interaction and have gained much attention recently due to their suitability to describe a broad spectrum of empirical complex systems. They are very…

Physics and Society · Physics 2020-09-21 Oriol Artime , Manlio De Domenico

This paper proposes a simple model to capture the complexity of multi-layer systems where their constituent layers affect, are affected by, each other. The physical layer is a circuit composed by a power source and resistors in parallel.…

Multiagent Systems · Computer Science 2016-02-09 Florian Kühnlenz , Pedro H. J. Nardelli

Robustness in response to unexpected events is always desirable for real-world networks. To improve the robustness of any networked system, it is important to analyze vulnerability to external perturbation such as random failures or…

Social and Information Networks · Computer Science 2017-02-01 Alan Kuhnle , Nam P. Nguyen , Thang N. Dinh , My T. Thai

Much work has been devoted to studying percolation of networks and interdependent networks under varying levels of failures. Researchers have considered many different realistic network structures, but thus far no study has incorporated the…

Physics and Society · Physics 2018-11-21 Louis M. Shekhtman , Shlomo Havlin

The structure of real-world multilayer infrastructure systems usually exhibits anisotropy due to constraints of the embedding space. For example, geographical features like mountains, rivers and shores influence the architecture of critical…

Physics and Society · Physics 2021-11-17 Dana Vaknin , Amir Bashan , Lidia A. Braunstein , Sergey V. Buldyrev , Shlomo Havlin

Power-law networks such as the Internet, terrorist cells, species relationships, and cellular metabolic interactions are susceptible to node failures, yet maintaining network connectivity is essential for network functionality.…

Physics and Society · Physics 2015-05-08 Sarah LaRocca , Seth Guikema