Fast Computation of Eigenvector Centralities for Multilayer Networks with Nonnegative Tensor Train

Elena M. Shcherbakova, Francesco Tudisco, Eugene E. Tyrtyshnikov
Lobachevskii J. Mathematics, 46 : 3804--3814 (2025)
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A nonlinear spectral core-periphery detection method for multiplex networks

Kai Bergermann, Martin Stoll, Francesco Tudisco
Proceedings Royal Society A, (2024)
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Nonlinear Perron-Frobenius theorems for nonnegative tensors

Antoine Gautier, Francesco Tudisco, Matthias Hein
SIAM Review (SIGEST paper), 65 : 495--536 (2023)
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Core-periphery detection in hypergraphs

Francesco Tudisco, Desmond J. Higham
SIAM Journal on Mathematics of Data Science, 5 (2023)
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Node and Edge Eigenvector Centrality for Hypergraphs

Francesco Tudisco, Desmond J. Higham
Communications Physics, 4:201 (2021)
doi-open arxiv code

The Global Convergence of the Nonlinear Power Method for Mixed-Subordinate Matrix Norms

Antoine Gautier, Matthias Hein, Francesco Tudisco
Journal of Scientific Computing, 88 : 21 (2021)
doi-open arxiv

A framework for second order eigenvector centralities and clustering coefficients

Francesca Arrigo, Desmond J. Higham, Francesco Tudisco
Proceedings Royal Society A, 476 : 20190724 (2020)
arxiv doi-open code

Shifted and extrapolated power methods for tensor $\ell^p$-eigenpairs

Stefano Cipolla, Michela Redivo-Zaglia, Francesco Tudisco
ETNA: Electronic Transactions on Numerical Analysis, 53 : 1--27 (2020)
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A fast and robust kernel optimization method for core–periphery detection in directed and weighted graphs

Francesco Tudisco, Desmond J. Higham
Applied Network Science, 4 : 1--13 (2019)
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Extrapolation methods for fixed-point multilinear PageRank computations

Stefano Cipolla, Michela Redivo-Zaglia, Francesco Tudisco
Numerical Linear Algebra with Applications, 27 : e2280 (2020)
doi arxiv

A nonlinear spectral method for core-periphery detection in networks

Francesco Tudisco, Desmond J. Higham
SIAM J. Mathematics of Data Science, 1 : 269--292 (2019)
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The contractivity of cone-preserving multilinear mappings

Antoine Gautier, Francesco Tudisco
Nonlinearity (IOP and London Mathematical Society), 32 : 4713 (2019)
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A unifying Perron-Frobenius theorem for nonnegative tensors via multihomogeneous maps

Antoine Gautier, Francesco Tudisco, Matthias Hein
SIAM J. Matrix Analysis Appl., 40 : 1206--1231 (2019)
doi arxiv

The Perron-Frobenius theorem for multihomogeneous mappings

Antoine Gautier, Francesco Tudisco, Matthias Hein
SIAM J. Matrix Analysis Appl., 40 : 1179--1205 (2019)
doi arxiv