People

Francesco Vaccarino

Senior Researcher

Fields of study:
Mathematics of complex systems

Home page: http://www.vaccarino.org/

Publications

The shape of collaborations

A. Patania, G. Petri, F. Vaccarino

EPJ Data Science 20176:18 (2017)

Topological analysis of data: success and challenges of a new branch of data science

A. Patania, F. Vaccarino, G. Petri

EPJ Data Science 6:7 (2017)

Insights into Brain Architectures from the Homological Scaffolds of Functional Connectivity Networks

L. Lord, P. Expert, H. M. Fernandes, G. Petri, T. J. Van Hartevelt, F. Vaccarino, G. Deco, F. Turkheimer, M. L. Kringelbach

Front. Syst. Neurosci. 10:85. doi: 10.3389/fnsys.2016.00085 (2016)

Combinatorial presentation of multidimensional persistent homology

W. Chacholski, M. Scolamiero, F. Vaccarino

Journal of Pure and Applied Algebra (2016)

Persistent homology analysis of phase transitions

I. Donato, M. Gori, M. Pettini, G. Petri, S. De Nigris, R. Franzosi, F. Vaccarino

Physical Review E 93 (5) (2016)

jHoles: A Tool for Understanding Biological Complex Networks via Clique Weight Rank Persistent Homology

J. Binchi, E. Merelli, M. Rucco, G. Petri, F. Vaccarino

Electronic Notes in Theoretical Computer Science 306 (2014)

Network Science, Topology

Homological scaffolds of brain functional networks

G. Petri, P. Expert, F. Turkheimer, R. Carhart-Harris, D. Nutt, P. J. Hellyer, F. Vaccarino

J. R. Soc. Interface 11 (2014)

Mathematics of complex systems, Network Science, Topology

Topological strata of weighted complex networks

G. Petri, M. Scolamiero, I. Donato, F. Vaccarino

PLoS ONE 8(6): e66506 (2013)

Mathematics of complex systems, Network Science, Structure Detection, Topology

A new family of algebras whose representation schemes are smooth

A. Ardizzoni, F. Galluzzi, F. Vaccarino

arXiv:1307.4304 [math.AG] (2013)

Algebraic geometry, Mathematics of complex systems, Representation theory

A presentation of general multipersistence modules computable in polynomial time

M. Scolamiero, A. Patriarca, F. Vaccarino

arXiv:1210.1932 (2012)

Networks and cycles: a persistent homology approach to complex networks

G. Petri, M. Scolamiero, I. Donato, F. Vaccarino

Proceedings of the European Conference on Complex Systems 2012 (2012)

Combinatorial resolutions of multigraded modules and multipersistent homology

W. Chacholski, M. Scolamiero, F. Vaccarino

Journal of Pure and Applied Algebra (2012)

Decimation of fast states and and weak nodes: topological variation through persistent homology

I. Donato, G. Petri, M. Scolamiero, F. Vaccarino

Proceedings of the European Conference on Complex Systems 2012 (2012)