84 citations · 354 across the 25 of their papers we have counts for
6 papers · 1 filter
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…
The contractivity of cone-preserving multilinear mappings
Antoine Gautier, Francesco Tudisco
With the notion of mode- Birkhoff contraction ratio, we prove a multilinear version of the Birkhoff-Hopf and the Perron-Fronenius theorems, which provide conditions on the exist…
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…
The Power Mean Laplacian for Multilayer Graph Clustering
Pedro Mercado, Antoine Gautier, Francesco Tudisco +1
Multilayer graphs encode different kind of interactions between the same set of entities. When one wants to cluster such a multilayer graph, the natural question arises how one sho…
The Perron-Frobenius theorem for multi-homogeneous mappings
Antoine Gautier, Francesco Tudisco, Matthias Hein
The Perron-Frobenius theory for nonnegative matrices has been generalized to order-preserving homogeneous mappings on a cone and more recently to nonnegative multilinear forms. We…
A unifying Perron-Frobenius theorem for nonnegative tensors via multi-homogeneous maps
Antoine Gautier, Francesco Tudisco, Matthias Hein
We introduce the concept of shape partition of a tensor and formulate a general tensor eigenvalue problem that includes all previously studied eigenvalue problems as special cases.…