13 citations · 27 across the 4 of their papers we have counts for
9 papers · 1 filter
Node and Edge Nonlinear Eigenvector Centrality for Hypergraphs
Francesco Tudisco, Desmond J. Higham
Network scientists have shown that there is great value in studying pairwise interactions between components in a system. From a linear algebra point of view, this involves definin…
Nonlocal PageRank
Stefano Cipolla, Fabio Durastante, Francesco Tudisco
In this work we introduce and study a nonlocal version of the PageRank. In our approach, the random walker explores the graph using longer excursions than just moving between neigh…
A framework for second order eigenvector centralities and clustering coefficients
Francesca Arrigo, Desmond J. Higham, Francesco Tudisco
We propose and analyse a general tensor-based framework for incorporating second order features into network measures. This approach allows us to combine traditional pairwise links…
Total variation based community detection using a nonlinear optimization approach
Andrea Cristofari, Francesco Rinaldi, Francesco Tudisco
Maximizing the modularity of a network is a successful tool to identify an important community of nodes. However, this combinatorial optimization problem is known to be NP-complete…
Multi-Dimensional, Multilayer, Nonlinear and Dynamic HITS
Francesca Arrigo, Francesco Tudisco
We introduce a ranking model for temporal multi-dimensional weighted and directed networks based on the Perron eigenvector of a multi-homogeneous order-preserving map. The model ex…
A Nonlinear Spectral Method for Core--Periphery Detection in Networks
Francesco Tudisco, Desmond J. Higham
We derive and analyse a new iterative algorithm for detecting network core--periphery structure. Using techniques in nonlinear Perron-Frobenius theory, we prove global convergence…