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315 Publications
2025 |
Published |
Journal Article |
IST-REx-ID: 20323 |
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Brown A, Draganov O. Discrete microlocal Morse theory. Journal of Pure and Applied Algebra. 2025;229(10). doi:10.1016/j.jpaa.2025.108068
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20657 |
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Edelsbrunner H, Pach J. Maximum Betti numbers of Čech complexes. Discrete & Computational Geometry. 2025. doi:10.1007/s00454-025-00796-5
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2025 |
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Conference Paper |
IST-REx-ID: 20658 |
Edelsbrunner H, Stephenson ER, Thoresen MH. The mid-sphere cousin of the medial axis transform. In: 4th International Joint Conference on Discrete Geometry and Mathematical Morphology. Vol 16296. Springer Nature; 2025:133-147. doi:10.1007/978-3-032-09544-2_10
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2025 |
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Conference Paper |
IST-REx-ID: 20729 |
Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. Additive partial matchings for persistent homology. In: Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation. Association for Computing Machinery; 2025:188-196. doi:10.1145/3747199.3747561
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2025 |
Submitted |
Preprint |
IST-REx-ID: 21016 |
Bokor Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms using kernel persistence. arXiv. doi:10.48550/arXiv.2505.17858
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earlier version | 2025 |
Draft |
Preprint |
IST-REx-ID: 21050 |
Edelsbrunner H, Fillmore CD, Olivera G. Counting equilibria of the electrostatic potential. arXiv. doi:10.48550/ARXIV.2501.05315
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2024 |
Published |
Journal Article |
IST-REx-ID: 13182 |
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
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| PubMed | Europe PMC
2024 |
Published |
Journal Article |
IST-REx-ID: 14345 |
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
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 14888 |
De Nooijer P, Terziadis S, Weinberger A, et al. Removing popular faces in curve arrangements. In: 31st International Symposium on Graph Drawing and Network Visualization. Vol 14466. Springer Nature; 2024:18-33. doi:10.1007/978-3-031-49275-4_2
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earlier version | 2024 |
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Conference Paper |
IST-REx-ID: 15012 |
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
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2024 |
Published |
Conference Paper |
IST-REx-ID: 15093 |
Cultrera di Montesano S, Edelsbrunner H, Henzinger M, 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
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2024 |
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Thesis | PhD |
IST-REx-ID: 15094 |
Cultrera di Montesano S. Persistence and Morse theory for discrete geometric structures. 2024. doi:10.15479/at:ista:15094
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2024 |
Published |
Journal Article |
IST-REx-ID: 15247 |
Frankl P, Pach J, Pálvölgyi D. Odd-sunflowers. Journal of Combinatorial Theory, Series A. 2024;206(8). doi:10.1016/j.jcta.2024.105889
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 15380 |
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
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2024 |
Published |
Conference Paper |
IST-REx-ID: 17144 |
Kourimska H, Lieutier A, Wintraecken M. The medial axis of any closed bounded set Is Lipschitz stable with respect to the Hausdorff distance Under ambient diffeomorphisms. In: 40th International Symposium on Computational Geometry. Vol 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.SoCG.2024.69
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2024 |
Published |
Conference Paper |
IST-REx-ID: 17145 |
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
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earlier version | 2024 |
Published |
Conference Paper |
IST-REx-ID: 17146 |
Edelsbrunner H, Pach J. Maximum Betti numbers of Čech complexes. In: 40th International Symposium on Computational Geometry. Vol 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.SoCG.2024.53
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| arXiv
2024 |
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Conference Paper |
IST-REx-ID: 17170 |
Attali D, Kourimska H, Fillmore CD, et al. Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of euclidean spaces and of Riemannian manifolds. In: 40th International Symposium on Computational Geometry. Vol 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024:11:1-11:19. doi:10.4230/LIPIcs.SoCG.2024.11
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2024 |
Published |
Journal Article |
IST-REx-ID: 17190 |
Edelsbrunner H, Garber A, Ghafaris M, Heiss T, Saghafiant M, Wintraecken M. Brillouin zones of integer lattices and their perturbations. SIAM Journal on Discrete Mathematics. 2024;38(2):1784-1807. doi:10.1137/22M1489071
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2024 |
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Conference Paper |
IST-REx-ID: 18556 |
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
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