84 citations · 354 across the 25 of their papers we have counts for
6 papers · 1 filter
Node and layer eigenvector centralities for multiplex networks
Francesco Tudisco, Francesca Arrigo, Antoine Gautier
Eigenvector-based centrality measures are among the most popular centrality measures in network science. The underlying idea is intuitive and the mathematical description is extrem…
A modularity based spectral method for simultaneous community and anti-community detection
Dario Fasino, Francesco Tudisco
In a graph or complex network, communities and anti-communities are node sets whose modularity attains extremely large values, positive and negative, respectively. We consider the…
On the stability of network indices defined by means of matrix functions
Stefano Pozza, Francesco Tudisco
Identifying important components in a network is one of the major goals of network analysis. Popular and effective measures of importance of a node or a set of nodes are defined in…
Community detection in networks via nonlinear modularity eigenvectors
Francesco Tudisco, Pedro Mercado, Matthias Hein
Revealing a community structure in a network or dataset is a central problem arising in many scientific areas. The modularity function is an established measure quantifying the…
The Perron-Frobenius Theorem for Multi-homogeneous Maps
Antoine Gautier, Francesco Tudisco, Matthias Hein
We introduce the notion of order-preserving multi-homogeneous mapping which allows to study Perron-Frobenius type theorems and nonnegative tensors in unified fashion. We prove a we…
Clustering Signed Networks with the Geometric Mean of Laplacians
Pedro Mercado, Francesco Tudisco, Matthias Hein
Signed networks allow to model positive and negative relationships. We analyze existing extensions of spectral clustering to signed networks. It turns out that existing approaches…