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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…

Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

Methodology · Statistics 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

Over the past decade network theory has turned out to be a powerful methodology to investigate complex systems of various sorts. Through data analysis, modeling, and simulation quite an unparalleled insight into their structure, function,…

Physics and Society · Physics 2010-07-16 Kimmo Kaski

We construct a connected network of 3.9 million nodes from mobile phone call records, which can be regarded as a proxy for the underlying human communication network at the societal level. We assign two weights on each edge to reflect the…

Multilayer network science has emerged as a central framework for analysing interconnected and interdependent complex systems. Its relevance has grown substantially with the increasing availability of rich, heterogeneous data, which makes…

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…

Multilayer networks are the underlying structures of multiple real-world systems where we have more than one type of interaction/relation between nodes: social, biological, computer, or communication, to name only a few. In many cases, they…

Social and Information Networks · Computer Science 2021-03-15 Piotr Bródka , Jarosław Jankowski , Radosław Michalski

Complex systems are characterized by many interacting units that give rise to emergent behavior. A particularly advantageous way to study these systems is through the analysis of the networks that encode the interactions among the system's…

Physics and Society · Physics 2019-03-21 Alberto Aleta , Yamir Moreno

Recent availability of geo-localized data capturing individual human activity together with the statistical data on international migration opened up unprecedented opportunities for a study on global mobility. In this paper we consider it…

Social and Information Networks · Computer Science 2016-01-22 Alexander Belyi , Iva Bojic , Stanislav Sobolevsky , Izabela Sitko , Bartosz Hawelka , Lada Rudikova , Alexander Kurbatski , Carlo Ratti

Community detection is a widely-studied unsupervised learning problem in which the task is to group similar entities together based on observed pairwise entity interactions. This problem has applications in diverse domains such as social…

Social and Information Networks · Computer Science 2020-04-21 Jimit Majmudar , Stephen Vavasis

Multiplex networks are a type of multilayer network in which entities are connected to each other via multiple types of connections. We propose a method, based on computing pairwise similarities between layers and then doing community…

Physics and Society · Physics 2017-09-20 Ta-Chu Kao , Mason A. Porter

Social networks existing among employees, customers or users of various IT systems have become one of the research areas of growing importance. A social network consists of nodes - social entities and edges linking pairs of nodes. In…

Social and Information Networks · Computer Science 2012-07-19 Piotr Bródka , Przemysław Kazienko , Katarzyna Musiał , Krzysztof Skibicki

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

Multilayer networks allow one to represent diverse and coupled connectivity patterns --- e.g., time-dependence, multiple subsystems, or both --- that arise in many applications and which are difficult or awkward to incorporate into standard…

Social and Information Networks · Computer Science 2020-05-06 Marya Bazzi , Lucas G. S. Jeub , Alex Arenas , Sam D. Howison , Mason A. Porter

Social scientists have long appreciated that relationships between individuals cannot be described from observing a single domain, and that the structure across domains of interaction can have important effects on outcomes of interest…

General Economics · Economics 2020-05-28 Curtis Atkisson , Piotr J. Górski , Matthew O. Jackson , Janusz A. Hołyst , Raissa M. D'Souza

The paper provides important insights into understanding the factors that influence tie strength in social networks. Using local network measures that take into account asymmetry of social interactions we show that the observed tie strength…

Social and Information Networks · Computer Science 2023-06-28 Kamil P. Orzechowski , Maciej J. Mrowinski , Agata Fronczak , Piotr Fronczak

Over the past decade, community detection in overlapping un-weighted networks, where nodes can belong to multiple communities, has been one of the most popular topics in modern network science. However, community detection in overlapping…

Social and Information Networks · Computer Science 2025-10-08 Huan Qing

In the analysis of complex networks, centrality measures and community structures play pivotal roles. For multilayer networks, a critical challenge lies in effectively integrating information across diverse layers while accounting for the…

Methodology · Statistics 2025-03-28 Zhuoye Han , Tiandong Wang , Zhiliang Ying

On the basis of structural model of intersystem interactions, the main local and global structural characteristics of nodes of the multilayer network (MLN) are determined. The notions of weighted and binary aggregate-networks of MLN are…

Physics and Society · Physics 2022-11-29 Olexandr Polishchuk

Here we introduce probabilistic weighted and unweighted multilayer networks as derived from information theoretical correlation measures on large multidimensional datasets. We present the fundamentals of the formal application of…

Physics and Society · Physics 2021-07-13 Enrique Hernández-Lemus , Jesús Espinal-Enríquez , Guillermo de Anda-Jáuregui