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Real-world complex systems exhibit multiple levels of relationships. In many cases, they require to be modeled by interconnected multilayer networks, characterizing interactions on several levels simultaneously. It is of crucial importance…

Physics and Society · Physics 2015-04-24 Manlio De Domenico , Albert Solé-Ribalta , Elisa Omodei , Sergio Gómez , Alex Arenas

The growing awareness that human communications and social interactions are assuming a stratified structure, due to the availability of multiple techno-communication channels, including online social networks, mobile phone calls, short…

Social and Information Networks · Computer Science 2014-01-15 Matteo Zignani , Christian Quadri , Sabrina Gaitto , Gian Paolo Rossi

We generalize the theory of k-core percolation on complex networks to k-core percolation on multiplex networks, where k=(k_a, k_b, ...). Multiplex networks can be defined as networks with a set of vertices but different types of edges, a,…

Disordered Systems and Neural Networks · Physics 2014-10-08 N. Azimi-Tafreshi , J. Gomez-Gardenes , S. N. Dorogovtsev

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

Multiplex networks describe systems whose interactions can be of different nature, and are fundamental to understand complexity of networks beyond the framework of simple graphs. Recently it has been pointed out that restricting the…

Physics and Society · Physics 2022-11-14 Reza Ghorbanchian , Vito Latora , Ginestra Bianconi

Graphs have often been used to answer questions about the interaction between real-world entities by taking advantage of their capacity to represent complex topologies. Complex networks are known to be graphs that capture such non-trivial…

Machine Learning · Computer Science 2022-06-03 Gabriel Spadon , Jose F. Rodrigues-Jr

The paradigm of layered networks is used to describe many real-world systems -- from biological networks, to social organizations and transportation systems. Recently there has been much progress in understanding the general properties of…

Physics and Society · Physics 2016-10-05 Márton Pósfai , Jianxi Gao , Sean P. Cornelius , Albert-László Barabási , Raissa M. D'Souza

We propose a method for characterizing large complex networks by introducing a new matrix structure, unique for a given network, which encodes structural information; provides useful visualization, even for very large networks; and allows…

Disordered Systems and Neural Networks · Physics 2008-02-28 J. P. Bagrow , E. M. Bollt , J. D. Skufca , D. ben-Avraham

We study the optimal routing on multilayered communication networks, which are composed of two layers of subnetworks. One is a wireless network, and the other is a wired network. We develop a simple recurrent algorithm to find an optimal…

Networking and Internet Architecture · Computer Science 2013-05-03 Jie Zhou , Gang Yan , Choy-Heng Lai

Networks are powerful tools for modeling interactions in complex systems. While traditional networks use scalar edge weights, many real-world systems involve multidimensional interactions. For example, in social networks, individuals often…

Social and Information Networks · Computer Science 2024-10-08 Yu Tian , Sadamori Kojaku , Hiroki Sayama , Renaud Lambiotte

Simplicial complexes describe collaboration networks, protein interaction networks and brain networks and in general network structures in which the interactions can include more than two nodes. In real applications, often simplicial…

Physics and Society · Physics 2017-06-21 Owen T. Courtney , Ginestra Bianconi

Cities can be seen as the epitome of complex systems. They arise from a set of interactions and components so diverse that is almost impossible to describe them exhaustively. Amid this diversity, we chose an object which orchestrates the…

Physics and Society · Physics 2015-12-07 Claire Lagesse

The way the topological structure goes from a decoupled state into a coupled one in multiplex networks has been widely studied by means of analytical and numerical studies, involving models of artificial networks. In general, these…

Physics and Society · Physics 2018-08-15 Johann H. Martínez , Stefano Boccaletti , Vladimir V. Makarov , Javier M. Buldú

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

Social and Information Networks · Computer Science 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

Physics and Society · Physics 2017-09-19 Jürgen Hackl , Bryan T. Adey

Distinct channels of interaction in a complex networked system define network layers, which co-exist and co-operate for the system's function. Towards realistic modeling and understanding such multiplex systems, we introduce and study a…

Physics and Society · Physics 2013-08-06 Jung Yeol Kim , K. -I. Goh

Many real-world systems can be modeled as interconnected multilayer networks, namely a set of networks interacting with each other. Here we present a perturbative approach to study the properties of a general class of interconnected…

Physics and Society · Physics 2018-07-10 Giacomo Rapisardi , Alex Arenas , Guido Caldarelli , Giulio Cimini

Recently, the focus of complex networks research has shifted from the analysis of isolated properties of a system toward a more realistic modeling of multiple phenomena - multilayer networks. Motivated by the prosperity of multilayer…

Computation and Language · Computer Science 2015-07-31 Domagoj Margan , Ana Meštrović , Sanda Martinčić-Ipšić

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…

The introduction of network science approaches into public transport research has seen great advances in the past 15 years. However, it has become apparent that monolayer networks are often not sufficient to model and analyse real-world…

Physics and Society · Physics 2026-03-24 Tina Šfiligoj , Renzo Massobrio , Oded Cats
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