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307 Publications
2025 |
Published |
Journal Article |
IST-REx-ID: 18626 |
Edelsbrunner H, Garber A, Saghafian M. 2025. Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. 461, 110055.
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2025 |
Published |
Conference Paper |
IST-REx-ID: 20005 |
Edelsbrunner H, Garber A, Saghafian M. 2025. On spheres with k points inside. 41st International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 332, 43.
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2025 |
Published |
Conference Paper |
IST-REx-ID: 20006 |
Ost L, Cultrera di Montesano S, Edelsbrunner H. 2025. Banana trees for the persistence in time series experimentally. 41st International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 332, 71.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20260 |
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Chambers EW, Fillmore CD, Stephenson ER, Wintraecken M. 2025. Burning or collapsing the medial axis is unstable. La Matematica. 4, 811–828.
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2025 |
Published |
Journal Article |
IST-REx-ID: 20293 |
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Akopyan A, Edelsbrunner H, Virk Z, Wagner H. 2025. Tight bounds between the Jensen–Shannon divergence and the minmax divergence. Entropy. 27(8), 854.
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2025 |
Published |
Journal Article |
IST-REx-ID: 20323 |
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Brown A, Draganov O. 2025. Discrete microlocal Morse theory. Journal of Pure and Applied Algebra. 229(10), 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. 2025. Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. 132, 104248.
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2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20585
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. 2025. Chromatic alpha complexes. Foundations of Data Science. 8, 30–62.
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20657 |
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Edelsbrunner H, Pach J. 2025. Maximum Betti numbers of Čech complexes. Discrete & Computational Geometry.
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2025 |
Published |
Conference Paper |
IST-REx-ID: 20658 |
Edelsbrunner H, Stephenson ER, Thoresen MH. 2025. The mid-sphere cousin of the medial axis transform. 4th International Joint Conference on Discrete Geometry and Mathematical Morphology. DGMM: Discrete Geometry and Mathematical Morphology, LNCS, vol. 16296, 133–147.
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2025 |
Published |
Conference Paper |
IST-REx-ID: 20729 |
Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. 2025. Additive partial matchings for persistent homology. Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation. ISSAC: International Symposium on Symbolic and Algebraic Computation, 188–196.
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2025 |
Published |
Thesis | PhD |
IST-REx-ID: 18979 |
Draganov O. 2025. Structures and computations in topological data analysis. Institute of Science and Technology Austria.
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2025 |
Published |
Journal Article |
IST-REx-ID: 20867 |
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Zava N. 2025. Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces. Algebraic & Geometric Topology. 25(8), 5153–5174.
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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, 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, 10.48550/ARXIV.2501.05315.
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2025 |
Published |
Journal Article |
IST-REx-ID: 21253 |
Pach J, Saghafian M, Schnider P. 2025. Decomposition of geometric graphs into star-forests. Computational Geometry. 129, 102186.
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2025 |
Published |
Journal Article |
IST-REx-ID: 17149 |
Edelsbrunner H, Nikitenko A. 2025. Average and expected distortion of Voronoi paths and scapes. Discrete & Computational Geometry. 73, 490–499.
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 14345 |
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. 2024. On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. 72, 29–48.
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 17891 |
Edelsbrunner H, Ölsböck K, Wagner H. 2024. Understanding higher-order interactions in information space. Entropy. 26(8), 637.
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