Sebastiano Cultrera di Montesano

Graduate School
Edelsbrunner Group

9 Publications

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[9]
2024 | Thesis | IST-REx-ID: 15094 | OA
Cultrera di Montesano S. Persistence and Morse theory for discrete geometric structures. 2024. doi:10.15479/at:ista:15094
[Published Version] View | Files available | DOI
 
[8]
2024 | Conference Paper | IST-REx-ID: 15093 | OA
Cultrera di Montesano S, Edelsbrunner H, Henzinger MH, Ost L. Dynamically maintaining the persistent homology of time series. In: Woodruff DP, ed. Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). Society for Industrial and Applied Mathematics; 2024:243-295. doi:10.1137/1.9781611977912.11
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2024 | Preprint | IST-REx-ID: 15091 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[6]
2023 | Journal Article | IST-REx-ID: 13182 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology. 2023. doi:10.1007/s41468-023-00126-9
[Published Version] View | Files available | DOI
 
[5]
2022 | Journal Article | IST-REx-ID: 10773 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 2022;67:811-842. doi:10.1007/s00454-022-00371-2
[Published Version] View | Files available | DOI | WoS
 
[4]
2022 | Journal Article | IST-REx-ID: 11660 | OA
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
 
[3]
2022 | Journal Article | IST-REx-ID: 11658 | OA
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
 
[2]
2022 | Preprint | IST-REx-ID: 15090 | OA
Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. arXiv.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[1]
2021 | Conference Paper | IST-REx-ID: 9604 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Counting cells of order-k voronoi tessellations in ℝ3 with morse theory. In: Leibniz International Proceedings in Informatics. Vol 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.SoCG.2021.16
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9 Publications

Mark all

[9]
2024 | Thesis | IST-REx-ID: 15094 | OA
Cultrera di Montesano S. Persistence and Morse theory for discrete geometric structures. 2024. doi:10.15479/at:ista:15094
[Published Version] View | Files available | DOI
 
[8]
2024 | Conference Paper | IST-REx-ID: 15093 | OA
Cultrera di Montesano S, Edelsbrunner H, Henzinger MH, Ost L. Dynamically maintaining the persistent homology of time series. In: Woodruff DP, ed. Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). Society for Industrial and Applied Mathematics; 2024:243-295. doi:10.1137/1.9781611977912.11
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2024 | Preprint | IST-REx-ID: 15091 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[6]
2023 | Journal Article | IST-REx-ID: 13182 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology. 2023. doi:10.1007/s41468-023-00126-9
[Published Version] View | Files available | DOI
 
[5]
2022 | Journal Article | IST-REx-ID: 10773 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 2022;67:811-842. doi:10.1007/s00454-022-00371-2
[Published Version] View | Files available | DOI | WoS
 
[4]
2022 | Journal Article | IST-REx-ID: 11660 | OA
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
 
[3]
2022 | Journal Article | IST-REx-ID: 11658 | OA
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
 
[2]
2022 | Preprint | IST-REx-ID: 15090 | OA
Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. arXiv.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[1]
2021 | Conference Paper | IST-REx-ID: 9604 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Counting cells of order-k voronoi tessellations in ℝ3 with morse theory. In: Leibniz International Proceedings in Informatics. Vol 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.SoCG.2021.16
[Published Version] View | Files available | DOI
 
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