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Multiplex networks describe a large variety of complex systems, whose elements (nodes) can be connected by different types of interactions forming different layers (networks) of the multiplex. Multiplex networks include social networks,…

Physics and Society · Physics 2015-10-29 Jacopo Iacovacci , Zhihao Wu , Ginestra Bianconi

Common experience suggests that many networks might possess community structure - division of vertices into groups, with a higher density of edges within groups than between them. Here we describe a new computer algorithm that detects…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman , M. Girvan

Driven by growing interest in the sciences, industry, and among the broader public, a large number of empirical studies have been conducted in recent years of the structure of networks ranging from the internet and the world wide web to…

Social and Information Networks · Computer Science 2018-06-08 M. E. J. Newman

Information on social media spreads through an underlying diffusion network that connects people of common interests and opinions. This diffusion network often comprises multiple layers, each capturing the spreading dynamics of a certain…

Social and Information Networks · Computer Science 2024-10-08 Yan Xia , Ted Hsuan Yun Chen , Mikko Kivelä

Many real-world systems can be modeled as interconnected multilayer networks, namely a set of networks interacting with each other. Here we present a perturbative approach to study the properties of a general class of interconnected…

Physics and Society · Physics 2018-07-10 Giacomo Rapisardi , Alex Arenas , Guido Caldarelli , Giulio Cimini

Many biological and man-made networked systems are characterized by the simultaneous presence of different sub-networks organized in separate layers, with links and nodes of qualitatively different types. While during the past few years…

Networked structure emerged from a wide range of fields such as biological systems, World Wide Web and technological infrastructure. A deeply insight into the topological complexity of these networks has been gained. Some works start to pay…

Physics and Society · Physics 2012-02-03 Jiang Xiongfei

Multilayer networks represent systems in which there are several topological levels each one representing one kind of interaction or interdependency between the systems' elements. These networks have attracted a lot of attention recently…

Physics and Society · Physics 2015-04-22 Emanuele Cozzo , Guilherme Ferraz de Arruda , Francisco A. Rodrigues , Yamir Moreno

We consider the problem of community detection in overlapping weighted networks, where nodes can belong to multiple communities and edge weights can be finite real numbers. To model such complex networks, we propose a general framework -…

Social and Information Networks · Computer Science 2024-04-08 Huan Qing , Jingli Wang

Structure inference is an important task for network data processing and analysis in data science. In recent years, quite a few approaches have been developed to learn the graph structure underlying a set of observations captured in a data…

Machine Learning · Computer Science 2020-04-16 Eda Bayram , Dorina Thanou , Elif Vural , Pascal Frossard

The study of networks plays a crucial role in investigating the structure, dynamics, and function of a wide variety of complex systems in myriad disciplines. Despite the success of traditional network analysis, standard networks provide a…

Physics and Society · Physics 2017-04-05 Manlio De Domenico , Clara Granell , Mason A. Porter , Alex Arenas

Community detection has arisen as one of the most relevant topics in the field of graph data mining due to its importance in many fields such as biology, social networks or network traffic analysis. The metrics proposed to shape communities…

Social and Information Networks · Computer Science 2012-07-27 Arnau Prat-Pérez , David Dominguez-Sal , Josep M. Brunat , Josep-Lluis Larriba-Pey

The introduction of network science approaches into public transport research has seen great advances in the past 15 years. However, it has become apparent that monolayer networks are often not sufficient to model and analyse real-world…

Physics and Society · Physics 2026-03-24 Tina Šfiligoj , Renzo Massobrio , Oded Cats

As research into community finding in social networks progresses, there is a need for algorithms capable of detecting overlapping community structure. Many algorithms have been proposed in recent years that are capable of assigning each…

Physics and Society · Physics 2010-11-18 Aaron F. McDaid , Neil J. Hurley

Modeling complex systems that consist of different types of objects leads to multilayer networks, where nodes in the different layers represent different kind of objects. Nodes are connected by edges, which have positive weights. A…

Numerical Analysis · Mathematics 2023-01-11 Smahane El-Halouy , Silvia Noschese , Lothar Reichel

Many systems are naturally represented by a multilayer network in which edges exist in multiple layers that encode different, but potentially related, types of interactions, and it is important to understand limitations on the detectability…

Physics and Society · Physics 2016-06-08 Dane Taylor , Saray Shai , Natalie Stanley , Peter J. Mucha

Inferencing with network data necessitates the mapping of its nodes into a vector space, where the relationships are preserved. However, with multi-layered networks, where multiple types of relationships exist for the same set of nodes, it…

Social and Information Networks · Computer Science 2019-03-05 Huan Song , Jayaraman J. Thiagarajan

Multiplex networks are a representation of real-world complex systems as a set of entities (i.e. nodes) connected via different types of connections (i.e. layers). The observed connections in these networks may not be complete and the link…

Physics and Society · Physics 2020-05-18 Amir Mahdi Abdolhosseini-Qomi , Naser Yazdani , Masoud Asadpour

Diffusion-driven instability is a fundamental mechanism underlying pattern formation in spatially extended systems. In almost all existing works, diffusion across the links of the underlying network is modeled through scalar weights,…

Statistical Mechanics · Physics 2026-02-16 Anna Gallo , Wilfried Segnou , Timoteo Carletti

Biological systems, from a cell to the human brain, are inherently complex. A powerful representation of such systems, described by an intricate web of relationships across multiple scales, is provided by complex networks. Recently, several…

Quantitative Methods · Quantitative Biology 2018-02-06 M. De Domenico