Morteza Saghafian

13 Publications

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[13]
2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
Edelsbrunner H, Garber A, Saghafian M. Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. 2025;461. doi:10.1016/j.aim.2024.110055
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[12]
2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
Edelsbrunner H, Garber A, Saghafian M. On spheres with k points inside. In: 41st International Symposium on Computational Geometry. Vol 332. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2025. doi:10.4230/LIPIcs.SoCG.2025.43
[Published Version] View | Files available | DOI | arXiv
 
[11]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19937
Mahini M, Beigy H, Qadami S, Saghafian M. Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality. Information Sciences. 2025;719(11). doi:10.1016/j.ins.2025.122425
View | DOI | WoS
 
[10]
2024 | Published | Conference Paper | IST-REx-ID: 17145 | OA
Rote G, Rüber M, Saghafian M. Grid peeling of parabolas. In: 40th International Symposium on Computational Geometry. Vol 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.SoCG.2024.76
[Published Version] View | Files available | DOI | arXiv
 
[9]
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic topological data analysis. arXiv. doi:10.48550/ARXIV.2406.04102
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[8]
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. The Euclidean MST-ratio for bi-colored lattices. In: 32nd International Symposium on Graph Drawing and Network Visualization. Vol 320. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.GD.2024.3
[Published Version] View | Files available | DOI | arXiv
 
[7]
2024 | Published | Journal Article | IST-REx-ID: 14345 | OA
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. 2024;72:29-48. doi:10.1007/s00454-023-00566-1
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[6]
2024 | Published | 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. 2024;8:1101-1119. doi:10.1007/s41468-023-00126-9
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[5]
2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Journal of Applied and Computational Topology. 2024;8:557-578. doi:10.1007/s41468-024-00173-w
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[4]
2024 | Draft | Preprint | IST-REx-ID: 15091 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv. doi:10.48550/arXiv.2212.03128
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[3]
2024 | Published | Conference Paper | IST-REx-ID: 15012 | OA
Pach J, Saghafian M, Schnider P. Decomposition of geometric graphs into star-forests. In: 31st International Symposium on Graph Drawing and Network Visualization. Vol 14465. Springer Nature; 2024:339-346. doi:10.1007/978-3-031-49272-3_23
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[2]
2022 | Draft | 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
 
[1]
2022 | Draft | 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
 
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13 Publications

Mark all

[13]
2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
Edelsbrunner H, Garber A, Saghafian M. Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. 2025;461. doi:10.1016/j.aim.2024.110055
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[12]
2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
Edelsbrunner H, Garber A, Saghafian M. On spheres with k points inside. In: 41st International Symposium on Computational Geometry. Vol 332. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2025. doi:10.4230/LIPIcs.SoCG.2025.43
[Published Version] View | Files available | DOI | arXiv
 
[11]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19937
Mahini M, Beigy H, Qadami S, Saghafian M. Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality. Information Sciences. 2025;719(11). doi:10.1016/j.ins.2025.122425
View | DOI | WoS
 
[10]
2024 | Published | Conference Paper | IST-REx-ID: 17145 | OA
Rote G, Rüber M, Saghafian M. Grid peeling of parabolas. In: 40th International Symposium on Computational Geometry. Vol 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.SoCG.2024.76
[Published Version] View | Files available | DOI | arXiv
 
[9]
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic topological data analysis. arXiv. doi:10.48550/ARXIV.2406.04102
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[8]
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. The Euclidean MST-ratio for bi-colored lattices. In: 32nd International Symposium on Graph Drawing and Network Visualization. Vol 320. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.GD.2024.3
[Published Version] View | Files available | DOI | arXiv
 
[7]
2024 | Published | Journal Article | IST-REx-ID: 14345 | OA
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. 2024;72:29-48. doi:10.1007/s00454-023-00566-1
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[6]
2024 | Published | 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. 2024;8:1101-1119. doi:10.1007/s41468-023-00126-9
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[5]
2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Journal of Applied and Computational Topology. 2024;8:557-578. doi:10.1007/s41468-024-00173-w
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[4]
2024 | Draft | Preprint | IST-REx-ID: 15091 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv. doi:10.48550/arXiv.2212.03128
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[3]
2024 | Published | Conference Paper | IST-REx-ID: 15012 | OA
Pach J, Saghafian M, Schnider P. Decomposition of geometric graphs into star-forests. In: 31st International Symposium on Graph Drawing and Network Visualization. Vol 14465. Springer Nature; 2024:339-346. doi:10.1007/978-3-031-49272-3_23
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[2]
2022 | Draft | 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
 
[1]
2022 | Draft | 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
 
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