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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

Complex systems are often characterized by distinct types of interactions between the same entities. These can be described as a multilayer network where each layer represents one type of interaction. These layers may be interdependent in…

Social and Information Networks · Computer Science 2018-08-21 Caterina De Bacco , Eleanor A. Power , Daniel B. Larremore , Cristopher Moore

Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires statistical tools capturing higher-order cross-layer…

Statistics Theory · Mathematics 2026-03-30 Karl Sawaya , Sofia Olhede

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 propose here a multiplex network approach to investigate simultaneously different types of dependency in complex data sets. In particular, we consider multiplex networks made of four layers corresponding respectively to linear,…

Physics and Society · Physics 2016-06-16 Nicoló Musmeci , Vincenzo Nicosia , Tomaso Aste , Tiziana Di Matteo , Vito Latora

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

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 complex systems can be described as multiplex networks in which the same nodes can interact with one another in different layers, thus forming a set of interacting and co-evolving networks. Examples of such multiplex systems are social…

Physics and Society · Physics 2013-11-12 Arda Halu , Raul J. Mondragon , Pietro Panzarasa , Ginestra Bianconi

The data gathered in all kind of web-based systems, which enable users to interact with each other, provides an opportunity to extract social networks that consist of people and relationships between them. The emerging structures are very…

Social and Information Networks · Computer Science 2014-07-07 Katarzyna Musial , Piotr Bródka , Przemysław Kazienko , Jarosław Gaworecki

Many real-world complex systems consist of a set of elementary units connected by relationships of different kinds. All such systems are better described in terms of multiplex networks, where the links at each layer represent a different…

Physics and Society · Physics 2014-03-17 Federico Battiston , Vincenzo Nicosia , Vito Latora

In the past years, network theory has successfully characterized the interaction among the constituents of a variety of complex systems, ranging from biological to technological, and social systems. However, up until recently, attention was…

In this work we analyze the architecture of real urban mobility networks from the multiplex perspective. In particular, based on empirical data about the mobility patterns in the cities of Bogot\'a and Medell\'{\i}n, each city is…

Physics and Society · Physics 2016-03-04 Laura Lotero , Alessio Cardillo , Rafael Hurtado , Jesús Gómez-Gardeñes

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

Complex networks contain various interactions among similar or different entities. These kinds of networks are called multi-relational networks, in which each layer corresponds to a special type of interaction. Multi-relational networks are…

Social and Information Networks · Computer Science 2021-04-02 Zahra Roozbahani , Hanif Emamgholizadeh , Jalal Rezaeenour , Mahshid Hajialikhani

Social structures emerge as a result of individuals managing a variety of different of social relationships. Societies can be represented as highly structured dynamic multiplex networks. Here we study the dynamical origins of the specific…

Physics and Society · Physics 2016-09-21 Peter Klimek , Marina Diakonova , Victor Eguiluz , Maxi San Miguel , Stefan Thurner

Actors in realistic social networks play not one but a number of diverse roles depending on whom they interact with, and a large number of such role-specific interactions collectively determine social communities and their organizations.…

Machine Learning · Statistics 2010-10-12 Qirong Ho , Ankur P. Parikh , Le Song , Eric P. Xing

The study of complex networks that account for different types of interactions has become a subject of interest in the last few years, specially because its representational power in the description of users interactions in diverse online…

Physics and Society · Physics 2015-09-17 Albert Solé-Ribalta , Clara Granell , Sergio Gómez , Alex Arenas

Consider a multiplex network formed by two layers indicating social interactions: the first layer is a friendship network and the second layer is a network of business relations. In this duplex network each pair of individuals can be…

Physics and Society · Physics 2021-12-22 Cook Hyun Kim , Minjae Jo , J. S. Lee , G. Bianconi , B. Kahng

Various theoretical and empirical studies have accounted for why humans cooperate in competitive environments. Although prior work has revealed that network structure and multiplex interactions can promote cooperation, most theory assumes…

Physics and Society · Physics 2026-01-05 Jnanajyoti Bhaumik , Naoki Masuda

Networks form the backbone of many complex systems, ranging from the Internet to human societies. Accordingly, not only is the range of our interactions limited and thus best described and modeled by networks, it is also a fact that the…

Physics and Society · Physics 2015-05-15 Zhen Wang , Lin Wang , Attila Szolnoki , Matjaz Perc