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Interactions between humans give rise to complex social networks that are characterized by heterogeneous degree distribution, weight-topology relation, overlapping community structure, and dynamics of links. Understanding such networks is a…

Physics and Society · Physics 2021-11-16 Yohsuke Murase , Hang-Hyun Jo , János Török , János Kertész , Kimmo Kaski

The interactions among the elementary components of many complex systems can be qualitatively different. Such systems are therefore naturally described in terms of multiplex or multi-layer networks, i.e. networks where each layer stands for…

Physics and Society · Physics 2015-09-15 Vincenzo Nicosia , Vito Latora

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

Statistical Mechanics · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

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

From transportation networks to complex infrastructures, and to social and communication networks, a large variety of systems can be described in terms of multiplexes formed by a set of nodes interacting through different networks (layers).…

Statistical Mechanics · Physics 2015-06-16 Davide Cellai , Eduardo López , Jie Zhou , James P. Gleeson , Ginestra Bianconi

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

Complex networks, such as transportation networks, social networks, or biological networks, capture the complex system they model often by representing only one type of interactions. In real world systems, there may be many different…

Physics and Society · Physics 2020-10-16 Blaž Škrlj , Benjamin Renoust

One of the reasons behind the success of Social Network Analysis is its simple and general graph model made of nodes (representing individuals) and ties. However, when we focus on our daily on-line experience we must confront a more complex…

Social and Information Networks · Computer Science 2012-11-02 Matteo Magnani , Luca Rossi

The new concept of multilevel network is introduced in order to embody some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classical models. This new model, which…

All online sharing systems gather data that reflects users' collective behaviour and their shared activities. This data can be used to extract different kinds of relationships, which can be grouped into layers, and which are basic…

Social and Information Networks · Computer Science 2013-03-04 Przemyslaw Kazienko , Katarzyna Musial , Tomasz Kajdanowicz

Any network studied in the literature is inevitably just a sampled representative of its real-world analogue. Additionally, network sampling is lately often applied to large networks to allow for their faster and more efficient analysis.…

Social and Information Networks · Computer Science 2015-04-14 Neli Blagus , Lovro Šubelj , Gregor Weiss , Marko Bajec

In this work, we propose a Bayesian statistical model to simultaneously characterize two or more social networks defined over a common set of actors. The key feature of the model is a hierarchical prior distribution that allows us to…

Social and Information Networks · Computer Science 2021-02-22 Juan Sosa , Brenda Betancourt

Multiple scales coexist in complex networks. However, the small world property makes them strongly entangled. This turns the elucidation of length scales and symmetries a defiant challenge. Here, we define a geometric renormalization group…

Disordered Systems and Neural Networks · Physics 2018-07-04 Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

Complex networks are made up of vertices and edges. The edges, which may be directed or undirected, are equipped with positive weights. Modeling complex systems that consist of different types of objects leads to multilayer networks, in…

Numerical Analysis · Mathematics 2024-09-10 Silvia Noschese , Lothar Reichel

Multilayer networks provide a more advanced and comprehensive framework for modeling real-world systems compared to traditional single-layer and multiplex networks. Unlike single-layer models, multilayer networks have multiple interacting…

Optimization and Control · Mathematics 2025-02-26 Christian D. Rodríguez-Camargo , Andrés F. Urquijo-Rodríguez , Eduardo Mojica-Nava

Many real networks exhibit a layered structure in which links in each layer reflect the function of nodes on different environments. These multiple types of links are usually represented by a multiplex network in which each layer has a…

Physics and Society · Physics 2014-03-19 C. Buono , L. G. Alvarez Zuzek , P. A. Macri , L. A. Braunstein

Elements of networks interact in many ways, so modeling them with graphs requires multiple types of edges (or network layers). Here we show that such multiplex networks are generically more vulnerable to global cascades than simplex…

Physics and Society · Physics 2012-05-01 Charles D. Brummitt , Kyu-Min Lee , K. -I. Goh

Latent space models are frequently used for modeling single-layer networks and include many popular special cases, such as the stochastic block model and the random dot product graph. However, they are not well-developed for more complex…

Methodology · Statistics 2021-07-09 Peter W. MacDonald , Elizaveta Levina , Ji Zhu

Network science is an interdisciplinary endeavor, with methods and applications drawn from across the natural, social, and information sciences. A prominent problem in network science is the algorithmic detection of tightly-connected groups…

Data Analysis, Statistics and Probability · Physics 2010-07-14 Peter J. Mucha , Thomas Richardson , Kevin Macon , Mason A. Porter , Jukka-Pekka Onnela

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