Pruning vineyards: updating barcodes by removing simplices, Barbara Giunti, Jānis Lazovskis, arXiv:2312.03925, 2023

Topological Data Analysis in smart manufacturing processes -- A survey on the state of the art, Martin Uray, Barbara Giunti, Michael Kerber, Stefan Huber, arXiv:2310.09319, 2023

Cofibrant inecomposables in chain complex valued tame functors indexed by dimension one posets, Wojciech Chachólski, Barbara Giunti, Claudia Landi, Francesca Tombari, arXiv:2301:04079, 2023

Keeping it sparse: Computing Persistent Homology revisited, Ulrich Bauer, Talha Bin Masood, Barbara Giunti, Guillaume Houry, Michael Kerber, Abhishek Rathod, arXiv:2211.09075, 2022

Amplitudes in persistence theory, Barbara Giunti, John S. Nolan, Nina Otter, and Lukas Waas, arXiv:2107.09036, 2021

Notes on pivot pairings, Barbara Giunti, EuroCG'21, 2021


DONUT -- Creation, Development, and Opportunities of a Database, Barbara Giunti, Bastian Rieck, and Jānis Lazovskis, Notices of the American Mathematics SocietyVol. 70 no. 10, p. 1640-1643, 2023

Decomposing filtered chain complexes: geometry behind barcoding algorithms, Wojciech Chachólsi, Barbara Giunti, Alvin Jin, and Claudia Landi, Computational Geometry: Theory and Applications, Vol. 109, 2023

Average complexity of matrix reduction for clique filtrations, Barbara Giunti, Guillaume Houry, and Michael Kerber, ISSAC '22: Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, p. 187-196, 2022

Invariants for tame parametrised chain complexes, Wojciech Chachólsi, Barbara Giunti, and Claudia Landi, Homology, Homotopy and Applications, Vol. 23 no. 2, p. 83-213, 2021

 

Dynamical systems on graphs through the signless Laplacian matrix, B.Giunti and V. Perri, 2018, Ricerche di Matematica, Springer, DOI: 10.1007/s11587-017-0326-z