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We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

Statistical Mechanics · Physics 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

Large-scale social networks constructed using contact metadata have been invaluable tools for understanding and testing social theories of society-wide social structures. However, multiplex relationships explaining different social contexts…

Physics and Society · Physics 2024-07-09 Javier Ureña-Carrion , Sara Heydari , Talayeh Aledavood , Jari Saramäki , Mikko Kivelä

It is common for people to access multiple social networks, for example, using phone, email, and social media. Together, the multi-layer social interactions form a "integrated social network." How can we extend well developed knowledge…

Social and Information Networks · Computer Science 2016-09-07 Kristina Lerman , Shang-Hua Teng , Xiaoran Yan

We study the robustness properties of multiplex networks consisting of multiple layers of distinct types of links, focusing on the role of correlations between degrees of a node in different layers. We use generating function formalism to…

Physics and Society · Physics 2014-05-02 Byungjoon Min , Su Do Yi , Kyu-Min Lee , K. -I. Goh

Multivariate relations are general in various types of networks, such as biological networks, social networks, transportation networks, and academic networks. Due to the principle of ternary closures and the trend of group formation, the…

Social and Information Networks · Computer Science 2020-08-11 Jin Xu , Shuo Yu , Ke Sun , Jing Ren , Ivan Lee , Shirui Pan , Feng Xia

Computing layer similarities is an important way of characterizing multiplex networks because various static properties and dynamic processes depend on the relationships between layers. We provide a taxonomy and experimental evaluation of…

Social and Information Networks · Computer Science 2018-08-13 Piotr Bródka , Anna Chmiel , Matteo Magnani , Giancarlo Ragozini

Based on the formation of triad junctions, the proposed mechanism generates networks that exhibit extended rather than single power law behavior. Triad formation guarantees strong neighborhood clustering and community-level characteristics…

Physics and Society · Physics 2013-06-24 P. Moriano , J. Finke

Large-scale human social network structure is typically inferred from digital trace samples of online social media platforms or mobile communication data. Instead, here we investigate the social network structure of a complete population,…

Physics and Society · Physics 2022-11-29 Eszter Bokányi , Eelke M. Heemskerk , Frank W. Takes

We introduce multiforce, a force-directed layout for multiplex networks, where the nodes of the network are organized into multiple layers and both in-layer and inter-layer relationships among nodes are used to compute node coordinates. The…

Social and Information Networks · Computer Science 2017-01-02 Zahra Fatemi , Mostafa Salehi , Matteo Magnani

Networks are a fundamental tool for understanding and modeling complex systems in physics, biology, neuroscience, engineering, and social science. Many networks are known to exhibit rich, lower-order connectivity patterns that can be…

Social and Information Networks · Computer Science 2018-01-08 Austin R. Benson , David F. Gleich , Jure Leskovec

It is quite obvious that in the real world, more than one kind of relationship can exist between two actors and that those ties can be so intertwined that it is impossible to analyse them separately [Fienberg 85], [Minor 83], [Szell 10].…

Social and Information Networks · Computer Science 2012-12-17 Piotr Bródka , Przemysław Kazienko

Complex networks are pervasive in the real world, capturing dyadic interactions between pairs of vertices, and a large corpus has emerged on their mining and modeling. However, many phenomena are comprised of polyadic interactions between…

Discrete Mathematics · Computer Science 2021-02-01 Natalie C. Behague , Anthony Bonato , Melissa A. Huggan , Rehan Malik , Trent G. Marbach

Percolation establishes the connectivity of complex networks and is one of the most fundamental critical phenomena for the study of complex systems. On simple networks, percolation displays a second-order phase transition; on multiplex…

Adaptation and Self-Organizing Systems · Physics 2023-03-14 Hanlin Sun , Filippo Radicchi , Jürgen Kurths , Ginestra Bianconi

Transportation networks, from bicycle paths to buses and railways, are the backbone of urban mobility. In large metropolitan areas, the integration of different transport modes has become crucial to guarantee the fast and sustainable flow…

Many topological and dynamical properties of complex networks are defined by assuming that most of the transport on the network flows along the shortest paths. However, there are different scenarios in which non-shortest paths are used to…

Physics and Society · Physics 2008-12-16 Ernesto Estrada , Naomichi Hatano

Representation learning of networks has witnessed significant progress in recent times. Such representations have been effectively used for classic network-based machine learning tasks like node classification, link prediction, and network…

Social and Information Networks · Computer Science 2018-12-07 Arunkumar Bagavathi , Siddharth Krishnan

The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast…

Physics and Society · Physics 2016-02-17 Giulia Menichetti , Luca Dall'Asta , Ginestra Bianconi

Recently it has been recognized that many complex social, technological and biological networks have a multilayer nature and can be described by multiplex networks. Multiplex networks are formed by a set of nodes connected by links having…

Physics and Society · Physics 2016-11-29 Jacopo Iacovacci , Christoph Rahmede , Alex Arenas , Ginestra Bianconi

Complex systems are characterized by multiple spatial and temporal scales. A natural framework to capture their multiscale nature is that of multilayer networks, where different layers represent distinct physical processes that often…

Statistical Mechanics · Physics 2024-04-29 Giorgio Nicoletti , Daniel Maria Busiello

In multi-agent systems, cooperative behavior is largely determined by the network structure which dictates the interactions among neighboring agents. These interactions often exhibit multidimensional features, either as relationships of…

Populations and Evolution · Quantitative Biology 2018-05-24 Viktor Stojkoski , Zoran Utkovski , Elisabeth Andre , Ljupco Kocarev
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