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Complex network theory aims to model and analyze complex systems that consist of multiple and interdependent components. Among all studies on complex networks, topological structure analysis is of the most fundamental importance, as it…

Social and Information Networks · Computer Science 2010-09-15 Bo Yang , Jiming Liu

We introduce a two layer network model for social coordination incorporating two relevant ingredients: a) different networks of interaction to learn and to obtain a payoff , and b) decision making processes based both on social and…

Physics and Society · Physics 2014-10-17 Haydee Lugo , Maxi San Miguel

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

We extend the concept of eigenvector centrality to multiplex networks, and introduce several alternative parameters that quantify the importance of nodes in a multi-layered networked system, including the definition of vectorial-type…

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

Online social systems are multiplex in nature as multiple links may exist between the same two users across different social networks. In this work, we introduce a framework for studying links and interactions between users beyond the…

Social and Information Networks · Computer Science 2015-09-01 Desislava Hristova , Anastasios Noulas , Chloë Brown , Mirco Musolesi , Cecilia Mascolo

Complex systems that consist of different kinds of entities that interact in different ways can be modeled by multilayer networks. This paper uses the tensor formalism with the Einstein tensor product to model this type of networks. Several…

Numerical Analysis · Mathematics 2023-08-03 Smahane El-Halouy , Silvia Noschese , Lothar Reichel

We show that real multiplex networks are unexpectedly robust against targeted attacks on high degree nodes, and that hidden interlayer geometric correlations predict this robustness. Without geometric correlations, multiplexes exhibit an…

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

Understanding the network structure, and finding out the influential nodes is a challenging issue in the large networks. Identifying the most influential nodes in the network can be useful in many applications like immunization of nodes in…

Social and Information Networks · Computer Science 2017-01-10 Naveen Gupta , Anurag Singh , Hocine Cherifi

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

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

In complex networks, each node has some unique characteristics that define the importance of the node based on the given application-specific context. These characteristics can be identified using various centrality metrics defined in the…

Social and Information Networks · Computer Science 2020-11-17 Akrati Saxena , Sudarshan Iyengar

In the recent years, the multilayer networks have increasingly been realized as a more realistic framework to understand emergent physical phenomena in complex real world systems. We analyze a massive time-varying social data drawn from the…

Physics and Society · Physics 2016-02-25 Camellia Sarkar , Alok Yadav , Sarika Jalan

Multi-edge networks capture repeated interactions between individuals. In social networks, such edges often form closed triangles, or triads. Standard approaches to measure this triadic closure, however, fail for multi-edge networks,…

Social and Information Networks · Computer Science 2021-02-24 Laurence Brandenberger , Giona Casiraghi , Vahan Nanumyan , Frank Schweitzer

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

Hidden geometry enables the investigation of complex networks at different scales. Extending this framework to multiplex networks, we uncover a novel kind of mesoscopic organization in real multiplex systems, named $\textit{clan}$, a group…

Physics and Society · Physics 2024-02-07 Gangmin Son , Meesoon Ha , Hawoong Jeong

Most network studies rely on an observed network that differs from the underlying network which is obfuscated by measurement errors. It is well known that such errors can have a severe impact on the reliability of network metrics,…

Social and Information Networks · Computer Science 2020-01-09 Christoph Martin , Peter Niemeyer

Node copying is an important mechanism for network formation, yet most models assume uniform copying rules. Motivated by observations of heterogeneous triadic closure in real networks, we introduce the concept of a hidden network model - a…

Physics and Society · Physics 2021-07-27 Max Falkenberg

Designing an efficient routing strategy is of great importance to alleviate traffic congestion in multilayer networks. In this work, we design an effective routing strategy for multilayer networks by comprehensively considering the roles of…

Physics and Society · Physics 2019-07-31 Lei Gao , Panpan Shu , Ming Tang , Wei Wang , Hui Gao