Sebastiano Cultrera di Montesano
Graduate School
Edelsbrunner Group
9 Publications
2024 | Thesis | IST-REx-ID: 15094 |
Cultrera di Montesano S. 2024. Persistence and Morse theory for discrete geometric structures. Institute of Science and Technology Austria.
[Published Version]
View
| Files available
| DOI
2024 | Conference Paper | IST-REx-ID: 15093 |
Cultrera di Montesano S, Edelsbrunner H, Henzinger MH, Ost L. 2024. Dynamically maintaining the persistent homology of time series. Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). SODA: Symposium on Discrete Algorigthms, 243–295.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Preprint | IST-REx-ID: 15091 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
2023 | Journal Article | IST-REx-ID: 13182 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2023. Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology.
[Published Version]
View
| Files available
| DOI
2022 | Journal Article | IST-REx-ID: 10773 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2022. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 67, 811–842.
[Published Version]
View
| Files available
| DOI
| WoS
2022 | Journal Article | IST-REx-ID: 11660 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs. LIPIcs.
[Submitted Version]
View
| Files available
2022 | Journal Article | IST-REx-ID: 11658 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics.
[Submitted Version]
View
| Files available
2022 | Preprint | IST-REx-ID: 15090 |
Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. arXiv, 2212.03121.
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
2021 | Conference Paper | IST-REx-ID: 9604 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2021. Counting cells of order-k voronoi tessellations in ℝ3 with morse theory. Leibniz International Proceedings in Informatics. SoCG: International Symposium on Computational Geometry, LIPIcs, vol. 189, 16.
[Published Version]
View
| Files available
| DOI
9 Publications
2024 | Thesis | IST-REx-ID: 15094 |
Cultrera di Montesano S. 2024. Persistence and Morse theory for discrete geometric structures. Institute of Science and Technology Austria.
[Published Version]
View
| Files available
| DOI
2024 | Conference Paper | IST-REx-ID: 15093 |
Cultrera di Montesano S, Edelsbrunner H, Henzinger MH, Ost L. 2024. Dynamically maintaining the persistent homology of time series. Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). SODA: Symposium on Discrete Algorigthms, 243–295.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Preprint | IST-REx-ID: 15091 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
2023 | Journal Article | IST-REx-ID: 13182 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2023. Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology.
[Published Version]
View
| Files available
| DOI
2022 | Journal Article | IST-REx-ID: 10773 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2022. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 67, 811–842.
[Published Version]
View
| Files available
| DOI
| WoS
2022 | Journal Article | IST-REx-ID: 11660 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs. LIPIcs.
[Submitted Version]
View
| Files available
2022 | Journal Article | IST-REx-ID: 11658 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics.
[Submitted Version]
View
| Files available
2022 | Preprint | IST-REx-ID: 15090 |
Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. arXiv, 2212.03121.
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
2021 | Conference Paper | IST-REx-ID: 9604 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2021. Counting cells of order-k voronoi tessellations in ℝ3 with morse theory. Leibniz International Proceedings in Informatics. SoCG: International Symposium on Computational Geometry, LIPIcs, vol. 189, 16.
[Published Version]
View
| Files available
| DOI