# FRANCESCO TUDISCO

Postdoctoral fellow

Faculty of Mathematics and Computer Science,

Saarland University

Address:

Saarland University

Saarland Informatics Campus

Building E 1 1, Room 229

66123 Saarbrücken

Germany

phone: +49 (0) 681 302 57333

## ABOUT ME

I received my Ph.D. in mathematics from the University of Rome “Tor Vergata”, with the thesis “Advances in Perron-Frobenius theory and algebraic network analysis”. Presently I am a member of the machine learning group at Saarland University. My primary research interests include matrix analysis, computational mathematics, graph theory, and their application to network analysis, machine learning and optimization. My work is mainly aimed at developing
and analysing theoretical and computational issues related to spectral properties of graphs and networks, with
an emphasis on node centrality and clustering problems.
My main present research activity include the anlysis of spectral properties of the p-Laplacian operator and of the modularity matrix on finite graphs, as well related computational issues and applications to the treatment of networks.
Surprisingly enough my Erdösh number is 4.

See also my page on Research Gate

## PREPRINTS

- F. Tudisco and M. Hein

A nodal domain theorem and a higher-order Cheeger inequality for the graph p-Laplacian

(arXiv) - D. Fasino and F. Tudisco

Localization of dominant eigenpairs and planted communities by means of Frobenius inner products

(arXiv)

## PUBLICATIONS

- P. Mercado, F. Tudisco, M. Hein

**Clustering Signed Networks with the Geometric Mean of Laplacians**

to appear on Proc. Advances in Neural Information Processing Systems (NIPS 2016) - Q. Nguyen, F. Tudisco, A. Gautier, M. Hein

**An Efficient Multilinear Optimization Framework for Hypergraph Matching**

to appear on IEEE Transactions on Pattern Analysis and Machine Intelligence (arXiv) - D. Fasino and F. Tudisco

**Modularity bounds for clusters located by leading eigenvectors of the normalized modularity matrix**

to appear on Czechoslovak Math.(arXiv) - C. Di Fiore, F. Tudisco, P. Zellini

**Lower triangular Toeplitz–Ramanujan systems whose solution yields the Bernoulli numbers**

Linear Algebra Appl. 496(2016), pp. 510-526 (DOI) - F. Tudisco

**A note on certain ergodicity coefficients**

Special Matrices 3(2015), pp. 175-185 (DOI) - D. Fasino and F. Tudisco

**Generalized modularity matrices**

Linear Algebra Appl. 502(2016), pp. 327-345 (DOI) (arXiv) - S. Cipolla, C. Di Fiore, F. Tudisco, P. Zellini

**Adaptive matrix algebras in unconstrained minimization**

Linear Algebra Appl. 471(2015), pp. 544-568 (DOI) - F. Tudisco, V. Cardinali and C. Di Fiore

**On complex power nonnegative matrices**

Linear Algebra Appl. 471(2015), pp. 449-468 (DOI) (arXiv) - D. Fasino and F. Tudisco

**An algebraic analysis of the graph modularity**

SIAM. J. Matrix Anal. & Appl. 35(2014), pp. 997-1018 (DOI) (arXiv) - F. Tudisco, C. Di Fiore and E. E. Tyrtyshnikov

**Optimal rank matrix algebras preconditioners**

Linear Algebra Appl. 438(2013), pp. 405-427 (DOI) (arXiv) - F. Tudisco and C. Di Fiore

**A preconditioning approach to the pagerank computation problem**

Linear Algebra Appl. 435(2011), pp. 2222-2246 (DOI)