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307 Publications
2025 |
Published |
Journal Article |
IST-REx-ID: 18626 |
Edelsbrunner H, Garber A, Saghafian M. Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. 2025;461. doi:10.1016/j.aim.2024.110055
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| arXiv
2025 |
Published |
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
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2025 |
Published |
Conference Paper |
IST-REx-ID: 20005 |
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
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| arXiv
2025 |
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Conference Paper |
IST-REx-ID: 20006 |
Ost L, Cultrera di Montesano S, Edelsbrunner H. Banana trees for the persistence in time series experimentally. In: 41st International Symposium on Computational Geometry. Vol 332. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2025. doi:10.4230/LIPIcs.SoCG.2025.71
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 20260 |
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Chambers EW, Fillmore CD, Stephenson ER, Wintraecken M. Burning or collapsing the medial axis is unstable. La Matematica. 2025;4:811-828. doi:10.1007/s44007-025-00170-0
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2025 |
Published |
Journal Article |
IST-REx-ID: 20293 |
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Akopyan A, Edelsbrunner H, Virk Z, Wagner H. Tight bounds between the Jensen–Shannon divergence and the minmax divergence. Entropy. 2025;27(8). doi:10.3390/e27080854
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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: 20490 |
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. 2025;132. doi:10.1016/j.ejc.2025.104248
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20585
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. Foundations of Data Science. 2025;8:30-62. doi:10.3934/fods.2025003
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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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| arXiv
2025 |
Published |
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 |
Published |
Thesis | PhD |
IST-REx-ID: 18979 |
Draganov O. Structures and computations in topological data analysis. 2025. doi:10.15479/at:ista:18979
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2025 |
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Journal Article |
IST-REx-ID: 20867 |
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Zava N. Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces. Algebraic & Geometric Topology. 2025;25(8):5153-5174. doi:10.2140/agt.2025.25.5153
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| arXiv
2025 |
Submitted |
Preprint |
IST-REx-ID: 21016 |
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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| arXiv
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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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 21253 |
Pach J, Saghafian M, Schnider P. Decomposition of geometric graphs into star-forests. Computational Geometry. 2025;129. doi:10.1016/j.comgeo.2025.102186
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2025 |
Published |
Journal Article |
IST-REx-ID: 17149 |
Edelsbrunner H, Nikitenko A. Average and expected distortion of Voronoi paths and scapes. Discrete & Computational Geometry. 2025;73:490-499. doi:10.1007/s00454-024-00660-y
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| arXiv
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 |
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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