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Many complex networks are only a part of larger systems, where a number of coexisting topologies interact and depend on each other. We introduce a layered model to facilitate the description and analysis of such systems. As an example of…

Physics and Society · Physics 2007-05-23 Maciej Kurant , Patrick Thiran

Many complex systems may be described not by one, but by a number of complex networks mapped one on the other in a multilayer structure. The interactions and dependencies between these layers cause that what is true for a distinct single…

Physics and Society · Physics 2010-10-12 Maciej Kurant , Patrick Thiran

Recent advances in spatial and temporal networks have enabled researchers to more-accurately describe many real-world systems such as urban transport networks. In this paper, we study the response of real-world spatio-temporal networks to…

Physics and Society · Physics 2016-07-05 Matthew J. Williams , Mirco Musolesi

We propose a natural model of evolving weighted networks in which new links are not necessarily connected to new nodes. The model allows a newly added link to connect directly two nodes already present in the network. This is plausible in…

Physics and Society · Physics 2011-08-18 Shinji Tanimoto

Describing the basic properties of road network systems, such as their robustness, vulnerability, and reliability, has been a very important research topic in the field of urban transportation. Current research mainly uses several…

Social and Information Networks · Computer Science 2019-06-26 Lei Gao , Xingquan Liu , Yu Liu , Pu Wang , Min Deng , Qing Zhu , Haifeng Li

The study of network robustness is a critical tool in the characterization and sense making of complex interconnected systems such as infrastructure, communication and social networks. While significant research has been conducted in all of…

Social and Information Networks · Computer Science 2022-03-31 Scott Freitas , Diyi Yang , Srijan Kumar , Hanghang Tong , Duen Horng Chau

Complex network theory has been used to study complex systems. However, many real-life systems involve multiple kinds of objects . They can't be described by simple graphs. In order to provide complete information of these systems, we…

Physics and Society · Physics 2015-11-10 Jin-Li Guo , Xin-Yun Zhu

The force networks of different granular ensembles are defined and their topological properties studied using the tools of complex networks. In particular, for each set of grains compressed in a square box, it is introduced a force…

Disordered Systems and Neural Networks · Physics 2007-09-18 Roberto Arevalo , Iker Zuriguel , Diego Maza

We study tolerance and topology of random scale-free networks under attack and defense strategies that depend on the degree k of the nodes. This situation occurs, for example, when the robustness of a node depends on its degree or in an…

Disordered Systems and Neural Networks · Physics 2009-11-11 Lazaros K. Gallos , Reuven Cohen , Panos Argyrakis , Armin Bunde , Shlomo Havlin

Modern society heavily relies on strongly connected, socio-technical systems. As a result, distinct risks threatening the operation of individual systems can no longer be treated in isolation. Consequently, risk experts are actively seeking…

Risk Management · Quantitative Finance 2018-02-07 Christos Ellinas , Neil Allan , Caroline Coombe

We study two kinds of weighted networks, weighted small-world (WSW) and weighted scale-free (WSF). The weight $w_{ij}$ of a link between nodes $i$ and $j$ in the network is defined as the product of endpoint node degrees; that is…

Statistical Mechanics · Physics 2009-11-11 Xin-Jian Xu , Zhi-Xi Wu , Ying-Hai Wang

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

The structure of complex networks has long been understood to play a role in transmission and spreading phenomena on a graph. This behavior is difficult to model analytically and is most often modeled numerically. Such networks form an…

Physics and Society · Physics 2020-12-01 Robert Harper , Philip Tee

Robustness to malicious attacks is crucial for practical decentralized signal processing and machine learning systems. A typical example of such attacks is label poisoning, meaning that some agents possess corrupted local labels and share…

Machine Learning · Computer Science 2026-01-07 Jie Peng , Weiyu Li , Stefan Vlaski , Qing Ling

Over the last two decades, network theory has shown to be a fruitful paradigm in understanding the organization and functioning of real-world complex systems. One technique helpful to this endeavor is identifying functionally influential…

Physics and Society · Physics 2022-01-24 Francesco Picciolo , Franco Ruzzenenti , Petter Holme , Rossana Mastrandrea

For decades, complex networks, such as social networks, biological networks, chemical networks, technological networks, have been used to study the evolution and dynamics of different kinds of complex systems. These complex systems can be…

Social and Information Networks · Computer Science 2020-12-16 Akrati Saxena

Network theory provides various tools for investigating the structural or functional topology of many complex systems found in nature, technology and society. Nevertheless, it has recently been realised that a considerable number of systems…

Data Analysis, Statistics and Probability · Physics 2012-03-23 Jonathan F. Donges , Hanna C. H. Schultz , Norbert Marwan , Yong Zou , Juergen Kurths

We provide a framework for detecting relevant insurance companies in a systemic risk perspective. Among the alternative methodologies for measuring systemic risk, we propose a complex network approach where insurers are linked to form a…

Risk Management · Quantitative Finance 2020-11-24 Gian Paolo Clemente , Alessandra Cornaro

Granovetter's weak ties theory is a very important sociological theory according to which a correlation between edge weight and the network's topology should exist. More specifically, the neighbourhood overlap of two nodes connected by an…

Physics and Society · Physics 2024-09-04 Maciej J Mrowinski , Kamil P. Orzechowski , Agata Fronczak , Piotr Fronczak

While the majority of approaches to the characterization of complex networks has relied on measurements considering only the immediate neighborhood of each network node, valuable information about the network topological properties can be…

Statistical Mechanics · Physics 2015-06-24 Luciano da Fontoura Costa , Filipi Nascimento Silva
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