Now showing items 1-8 of 8
Beyond the clustering coefficient: A topological analysis of node neighbourhoods in complex networks
In Network Science node neighbourhoods, also called ego-centered networks have attracted large attention. In particular the clustering coefficient has been extensively used to measure their local cohesiveness. In this ...
Simplicial complexes: higher-order spectral dimension and dynamics
Simplicial complexes constitute the underlying topology of interacting complex systems including among the others brain and social interaction networks. They are generalized network structures that allow to go beyond the ...
Explosive higher-order Kuramoto dynamics on simplicial complexes
(American Physical Society, 2020)
The higher-order interactions of complex systems, such as the brain, are captured by their simplicial complex structure and have a significant effect on dynamics. However the existing dynamical models defined on simplicial ...
A message-passing approach to epidemic tracing and mitigation with apps
With the hit of new pandemic threats, scientific frameworks are needed to understand the unfolding of the epidemic. The use of mobile apps that are able to trace contacts is of utmost importance in order to control new ...
The topological Dirac equation of networks and simplicial complexes
(IOP Publishing, 2021-09-14)
We define the topological Dirac equation describing the evolution of a topological wave function on networks or on simplicial complexes. On networks, the topological wave function describes the dynamics of topological ...
Higher-order percolation processes on multiplex hypergraphs
(American Physical Society, 2021-09-15)
Higher-order interactions are increasingly recognised as a fundamental aspect of complex systems ranging from the brain to social contact networks. Hypergraphs as well as simplicial complexes capture the higher-order ...
Centralities of Nodes and Influences of Layers in Large Multiplex Networks
(Oxford University Press (OUP), 2017-10-23)
We formulate and propose an algorithm (MultiRank) for the ranking of nodes and layers in large multiplex networks. MultiRank takes into account the full multiplex network structure of the data and exploits the dual nature ...
Dirac synchronization is rhythmic and explosive