The structure and dynamics of multilayer networks
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 …
constituents of a variety of complex systems, ranging from biological to technological, and …
Mathematical formulation of multilayer networks
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 …
systems. However, most real and engineered systems have multiple subsystems and layers …
Eigenvector centrality of nodes in multiplex networks
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 …
alternative parameters that quantify the importance of nodes in a multi-layered networked …
Synchronization in a temporal multiplex neuronal hypernetwork
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 …
of different coupling topologies during the last two decades. In most of the previous cases …
Time-varying multiplex network: Intralayer and interlayer synchronization
A large class of engineered and natural systems, ranging from transportation networks to
neuronal networks, are best represented by multiplex network architectures, namely a …
neuronal networks, are best represented by multiplex network architectures, namely a …
[HTML][HTML] Detecting communities in higher-order networks by using their derivative graphs
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 …
hypergraph (also called higher-order network) are formed by groups of nodes that share …
Structure of triadic relations in multiplex networks
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 …
interconnected world is composed of networks that are coupled to each other through …
Intralayer synchronization in evolving multiplex hypernetworks: Analytical approach
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 …
layer interact through diverse types of coupling functions associated with different time …
A mathematical model for networks with structures in the mesoscale
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 …
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
The combination of sports sciences theorization and social networks analysis (SNA) has
offered useful new insights for addressing team behavior. However, SNA typically …
offered useful new insights for addressing team behavior. However, SNA typically …