The structure and dynamics of multilayer networks

S Boccaletti, G Bianconi, R Criado, CI Del Genio… - Physics reports, 2014 - Elsevier
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 …

Mathematical formulation of multilayer networks

M De Domenico, A Solé-Ribalta, E Cozzo, M Kivelä… - Physical Review X, 2013 - APS
A network representation is useful for describing the structure of a large variety of complex
systems. However, most real and engineered systems have multiple subsystems and layers …

Eigenvector centrality of nodes in multiplex networks

L Solá, M Romance, R Criado, J Flores… - … Journal of Nonlinear …, 2013 - pubs.aip.org
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 …

Synchronization in a temporal multiplex neuronal hypernetwork

S Rakshit, BK Bera, D Ghosh - Physical Review E, 2018 - APS
Synchronization in time-varying complex dynamical systems has been explored in a variety
of different coupling topologies during the last two decades. In most of the previous cases …

Time-varying multiplex network: Intralayer and interlayer synchronization

S Rakshit, S Majhi, BK Bera, S Sinha, D Ghosh - Physical Review E, 2017 - APS
A large class of engineered and natural systems, ranging from transportation networks to
neuronal networks, are best represented by multiplex network architectures, namely a …

[HTML][HTML] Detecting communities in higher-order networks by using their derivative graphs

G Contreras-Aso, R Criado, GV de Salas… - Chaos, Solitons & …, 2023 - Elsevier
Similar to what happens in the pairwise network domain, the communities of nodes of a
hypergraph (also called higher-order network) are formed by groups of nodes that share …

Structure of triadic relations in multiplex networks

E Cozzo, M Kivelä, M De Domenico… - New Journal of …, 2015 - iopscience.iop.org
Recent advances in the study of networked systems have highlighted that our
interconnected world is composed of networks that are coupled to each other through …

Intralayer synchronization in evolving multiplex hypernetworks: Analytical approach

S Rakshit, BK Bera, EM Bollt, D Ghosh - SIAM Journal on Applied Dynamical …, 2020 - SIAM
In this paper, we study intralayer synchronization of multiplex networks where nodes in each
layer interact through diverse types of coupling functions associated with different time …

A mathematical model for networks with structures in the mesoscale

R Criado, J Flores, A García del Amo… - … Journal of Computer …, 2012 - Taylor & Francis
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 …

Hypernetworks reveal compound variables that capture cooperative and competitive interactions in a soccer match

J Ramos, RJ Lopes, P Marques, D Araújo - Frontiers in Psychology, 2017 - frontiersin.org
The combination of sports sciences theorization and social networks analysis (SNA) has
offered useful new insights for addressing team behavior. However, SNA typically …