Sebastiano Cultrera di Montesano

Graduate School
Edelsbrunner Group

12 Publications

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[12]
2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
Biswas, Ranita, et al. “Geometric Characterization of the Persistence of 1D Maps.” Journal of Applied and Computational Topology, vol. 8, Springer Nature, 2024, pp. 1101–19, doi:10.1007/s41468-023-00126-9.
[Published Version] View | Files available | DOI
 
[11]
2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
Biswas, Ranita, et al. “Depth in Arrangements: Dehn–Sommerville–Euler Relations with Applications.” Journal of Applied and Computational Topology, vol. 8, Springer Nature, 2024, pp. 557–78, doi:10.1007/s41468-024-00173-w.
[Published Version] View | Files available | DOI | Download Published Version (ext.)
 
[10]
2024 | Published | Conference Paper | IST-REx-ID: 15093 | OA
Cultrera di Montesano, Sebastiano, et al. “Dynamically Maintaining the Persistent Homology of Time Series.” Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), edited by David P. Woodruff, Society for Industrial and Applied Mathematics, 2024, pp. 243–95, doi:10.1137/1.9781611977912.11.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[9]
2024 | Published | Thesis | IST-REx-ID: 15094 | OA
Cultrera di Montesano, Sebastiano. Persistence and Morse Theory for Discrete Geometric Structures. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:15094.
[Published Version] View | Files available | DOI
 
[8]
2024 | Draft | Preprint | IST-REx-ID: 15091 | OA
Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” ArXiv, 2212.03128, doi:10.48550/arXiv.2212.03128.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
Cultrera di Montesano, Sebastiano, et al. “Chromatic Topological Data Analysis.” ArXiv, 2406.04102, doi:10.48550/ARXIV.2406.04102.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[6]
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
Cultrera di Montesano, Sebastiano, et al. “The Euclidean MST-Ratio for Bi-Colored Lattices.” 32nd International Symposium on Graph Drawing and Network Visualization, vol. 320, 3, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.GD.2024.3.
[Published Version] View | Files available | DOI | arXiv
 
[5]
2022 | Published | Journal Article | IST-REx-ID: 10773 | OA
Biswas, Ranita, et al. “Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics.” Discrete and Computational Geometry, vol. 67, Springer Nature, 2022, pp. 811–42, doi:10.1007/s00454-022-00371-2.
[Published Version] View | Files available | DOI | WoS
 
[4]
2022 | Draft | Preprint | IST-REx-ID: 15090 | OA
Biswas, Ranita, et al. “On the Size of Chromatic Delaunay Mosaics.” ArXiv, 2212.03121.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[3]
2022 | Draft | Journal Article | IST-REx-ID: 11658 | OA
Biswas, Ranita, et al. “Depth in Arrangements: Dehn–Sommerville–Euler Relations with Applications.” Leibniz International Proceedings on Mathematics, Schloss Dagstuhl - Leibniz Zentrum für Informatik.
[Submitted Version] View | Files available
 
[2]
2022 | Submitted | Journal Article | IST-REx-ID: 11660 | OA
Biswas, Ranita, et al. “A Window to the Persistence of 1D Maps. I: Geometric Characterization of Critical Point Pairs.” LIPIcs, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[Submitted Version] View | Files available
 
[1]
2021 | Published | Conference Paper | IST-REx-ID: 9604 | OA
Biswas, Ranita, et al. “Counting Cells of Order-k Voronoi Tessellations in ℝ3 with Morse Theory.” Leibniz International Proceedings in Informatics, vol. 189, 16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.SoCG.2021.16.
[Published Version] View | Files available | DOI
 
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12 Publications

Mark all

[12]
2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
Biswas, Ranita, et al. “Geometric Characterization of the Persistence of 1D Maps.” Journal of Applied and Computational Topology, vol. 8, Springer Nature, 2024, pp. 1101–19, doi:10.1007/s41468-023-00126-9.
[Published Version] View | Files available | DOI
 
[11]
2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
Biswas, Ranita, et al. “Depth in Arrangements: Dehn–Sommerville–Euler Relations with Applications.” Journal of Applied and Computational Topology, vol. 8, Springer Nature, 2024, pp. 557–78, doi:10.1007/s41468-024-00173-w.
[Published Version] View | Files available | DOI | Download Published Version (ext.)
 
[10]
2024 | Published | Conference Paper | IST-REx-ID: 15093 | OA
Cultrera di Montesano, Sebastiano, et al. “Dynamically Maintaining the Persistent Homology of Time Series.” Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), edited by David P. Woodruff, Society for Industrial and Applied Mathematics, 2024, pp. 243–95, doi:10.1137/1.9781611977912.11.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[9]
2024 | Published | Thesis | IST-REx-ID: 15094 | OA
Cultrera di Montesano, Sebastiano. Persistence and Morse Theory for Discrete Geometric Structures. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:15094.
[Published Version] View | Files available | DOI
 
[8]
2024 | Draft | Preprint | IST-REx-ID: 15091 | OA
Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” ArXiv, 2212.03128, doi:10.48550/arXiv.2212.03128.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
Cultrera di Montesano, Sebastiano, et al. “Chromatic Topological Data Analysis.” ArXiv, 2406.04102, doi:10.48550/ARXIV.2406.04102.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[6]
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
Cultrera di Montesano, Sebastiano, et al. “The Euclidean MST-Ratio for Bi-Colored Lattices.” 32nd International Symposium on Graph Drawing and Network Visualization, vol. 320, 3, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.GD.2024.3.
[Published Version] View | Files available | DOI | arXiv
 
[5]
2022 | Published | Journal Article | IST-REx-ID: 10773 | OA
Biswas, Ranita, et al. “Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics.” Discrete and Computational Geometry, vol. 67, Springer Nature, 2022, pp. 811–42, doi:10.1007/s00454-022-00371-2.
[Published Version] View | Files available | DOI | WoS
 
[4]
2022 | Draft | Preprint | IST-REx-ID: 15090 | OA
Biswas, Ranita, et al. “On the Size of Chromatic Delaunay Mosaics.” ArXiv, 2212.03121.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[3]
2022 | Draft | Journal Article | IST-REx-ID: 11658 | OA
Biswas, Ranita, et al. “Depth in Arrangements: Dehn–Sommerville–Euler Relations with Applications.” Leibniz International Proceedings on Mathematics, Schloss Dagstuhl - Leibniz Zentrum für Informatik.
[Submitted Version] View | Files available
 
[2]
2022 | Submitted | Journal Article | IST-REx-ID: 11660 | OA
Biswas, Ranita, et al. “A Window to the Persistence of 1D Maps. I: Geometric Characterization of Critical Point Pairs.” LIPIcs, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[Submitted Version] View | Files available
 
[1]
2021 | Published | Conference Paper | IST-REx-ID: 9604 | OA
Biswas, Ranita, et al. “Counting Cells of Order-k Voronoi Tessellations in ℝ3 with Morse Theory.” Leibniz International Proceedings in Informatics, vol. 189, 16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.SoCG.2021.16.
[Published Version] View | Files available | DOI
 
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