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What is a complex network? How do we characterize complex networks? Which systems can be studied from a network approach? In this text, we motivate the use of complex networks to study and understand a broad panoply of systems, ranging from…

Physics and Society · Physics 2007-11-27 Pedro G. Lind

Complex systems are characterized by specific time-dependent interactions among their many constituents. As a consequence they often manifest rich, non-trivial and unexpected behavior. Examples arise both in the physical and non-physical…

Physics and Society · Physics 2018-11-21 Yurij Holovatch , Ralph Kenna , Stefan Thurner

Major cities worldwide experience problems with the performance of their road transportation networks, and the continuous increase in traffic demand presents a substantial challenge to the optimal operation of urban road networks and the…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Linghang Sun , Yifan Zhang , Cristian Axenie , Margherita Grossi , Anastasios Kouvelas , Michail A. Makridis

The science of networks has revolutionised research into the dynamics of interacting elements. It could be argued that epidemiology in particular has embraced the potential of network theory more than any other discipline. Here we review…

Network theory provides tools which are particularly appropriate for assessing the complex interdependencies that characterise our modern connected world. This article presents an introduction to network theory, in a way that doesn't…

Physics and Society · Physics 2020-05-01 Vaiva Vasiliauskaite , Fernando E. Rosas

Mobility management is a key aspect to consider in future Internet architectures, as these architectures include a highly nomadic end-user which often relies on services provided by multi-access networks. In contrast, today's mobility…

Networking and Internet Architecture · Computer Science 2017-11-15 Andrea Nascimento , Rute Sofia , Tiago Condeixa , Susana Sargento

Many real-world complex systems are best modeled by multiplex networks of interacting network layers. The multiplex network study is one of the newest and hottest themes in the statistical physics of complex networks. Pioneering studies…

Physics and Society · Physics 2016-10-31 Kyu-Min Lee , Byungjoon Min , Kwang-Il Goh

The functionality of nodes in a network is often described by the structural feature of belonging to the giant component. However, when dealing with problems like transport, a more appropriate functionality criterion is for a node to belong…

Physics and Society · Physics 2021-02-03 Bnaya Gross , Ivan Bonamassa , Shlomo Havlin

This paper studies models for Autonomous Micromobility-on-Demand (AMoD), a paradigm in which a fleet of autonomous vehicles delivers mobility services on demand in conjunction with micromobility systems. Specifically, we introduce a network…

Systems and Control · Electrical Eng. & Systems 2025-04-02 S. J. Abbasi Koumleh , Fabio Paparella

Motivated by the growing number of mobile devices capable of connecting and exchanging messages, we propose a methodology aiming to model and analyze node mobility in networks. We note that many existing solutions in the literature rely on…

Networking and Internet Architecture · Computer Science 2021-11-12 Matheus F. C. Barros , Carlos H. G. Ferreira , Bruno Pereira dos Santos , Lourenço A. P. Júnior , Marco Mellia , Jussara M. Almeida

The critical infrastructures of the nation such as the power grid and the communication network are highly interdependent. Also, it has been observed that there exists complex interdependent relationships between individual entities of the…

Physics and Society · Physics 2017-02-20 Joydeep Banerjee , Arun Das , Arunabha Sen

Many empirical networks originate from correlational data, arising in domains as diverse as psychology, neuroscience, genomics, microbiology, finance, and climate science. Specialized algorithms and theory have been developed in different…

Physics and Society · Physics 2025-07-15 Naoki Masuda , Zachary M. Boyd , Diego Garlaschelli , Peter J. Mucha

A fundamental problem in the study of complex networks is to provide quantitative measures of correlation and information flow between different parts of a system. To this end, several notions of communicability have been introduced and…

Physics and Society · Physics 2015-04-08 Ernesto Estrada , Naomichi Hatano , Michele Benzi

Networks are convenient mathematical models to represent the structure of complex systems, from cells to societies. In the past decade, multilayer network science -- the branch of the field dealing with units interacting in multiple…

We review the research literature investigating systems in which mobile entities can carry data while they move. These entities can be either mobile by nature (e.g., human beings and animals) or mobile by design (e.g., trains, airplanes,…

Networking and Internet Architecture · Computer Science 2018-06-01 Benjamin Baron , Prométhée Spathis , Marcelo Dias de Amorim , Yannis Viniotis , Mostafa H. Ammar

Interactions between units in phyical, biological, technological, and social systems usually give rise to intrincate networks with non-trivial structure, which critically affects the dynamics and properties of the system. The focus of most…

Data Analysis, Statistics and Probability · Physics 2007-05-23 R. Guimera , M. Sales-Pardo , L. A. N. Amaral

The rapid evolution of machine learning has propelled neural networks to unprecedented success across diverse domains. In particular, multimodal learning has emerged as a transformative paradigm, leveraging complementary information from…

Machine Learning · Computer Science 2025-11-14 Fushuo Huo

Interconnected ensembles of biological entities are perhaps some of the most complex systems that modern science has encountered so far. In particular, scientists have concentrated on understanding how the complexity of the interacting…

Pattern Formation and Solitons · Physics 2020-11-18 Bram A. Siebert , Cameron L. Hall , James P. Gleeson , Malbor Asllani

Identifying and explaining the structure of complex networks at different scales has become an important problem across disciplines. At the mesoscale, modular architecture has attracted most of the attention. At the macroscale, other…

Physics and Society · Physics 2018-11-09 María J. Palazzi , Javier Borge-Holthoefer , Claudio Tessone , Albert Solé-Ribalta

The world of network science is fascinating and filled with complex phenomena that we aspire to understand. One of them is the dynamics of spreading processes over complex networked structures. Building the knowledge-base in the field where…

Social and Information Networks · Computer Science 2020-01-16 Piotr Bródka , Katarzyna Musial , Jarosław Jankowski