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282 Publications
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 | Thesis | IST-REx-ID: 18667 |
Heiss T. New methods for applying topological data analysis to materials science. 2024. doi:10.15479/at:ista:18667
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2024 | Draft | Preprint | IST-REx-ID: 18673 |
Edelsbrunner H, Heiss T. Merge trees of periodic filtrations. arXiv. doi:10.48550/arXiv.2408.16575
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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 | Published | Thesis | 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 | Draft | Preprint | IST-REx-ID: 18981 |
Brown A, Draganov O. Discrete microlocal Morse theory. arXiv. doi:10.48550/arXiv.2209.14993
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2024 | Draft | Preprint | IST-REx-ID: 15091 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv. doi:10.48550/arXiv.2212.03128
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2024 | Published | Conference Paper | IST-REx-ID: 18998 |
Draganov O, Skiena S. The shape of word embeddings: Quantifying non-isometry with topological data analysis. In: Findings of the Association for Computational Linguistics: EMNLP 2024. Association for Computational Linguistics; 2024:12080-12099. doi:10.18653/v1/2024.findings-emnlp.705
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| arXiv
2024 | Submitted | Preprint | IST-REx-ID: 18999 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic topological data analysis. arXiv. doi:10.48550/ARXIV.2406.04102
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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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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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| arXiv
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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| arXiv
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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2024 | Epub ahead of print | Journal Article | IST-REx-ID: 17149 |
Edelsbrunner H, Nikitenko A. Average and expected distortion of Voronoi paths and scapes. Discrete and Computational Geometry. 2024. doi:10.1007/s00454-024-00660-y
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2024 | Published | 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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| arXiv
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 | Published | Journal Article | IST-REx-ID: 17891 |
Edelsbrunner H, Ölsböck K, Wagner H. Understanding higher-order interactions in information space. Entropy. 2024;26(8). doi:10.3390/e26080637
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| PubMed | Europe PMC
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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2024 | Published | 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: 18097 |
Attali D, Kourimska H, Fillmore CD, et al. The ultimate frontier: An optimality construction for homotopy inference (media exposition). In: 40th International Symposium on Computational Geometry. Vol 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.SoCG.2024.87
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