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290 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 | Journal Article | IST-REx-ID: 17149 |
Edelsbrunner H, Nikitenko A. 2025. Average and expected distortion of Voronoi paths and scapes. Discrete and Computational Geometry. 73, 490–499.
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2025 | Published | Thesis | 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 | 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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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 | Epub ahead of print | 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.
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2025 | Epub ahead of print | 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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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 | Epub ahead of print | Journal Article | IST-REx-ID: 20456 |
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Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. 2025. On the size of chromatic Delaunay mosaics. Discrete and Computational Geometry.
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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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2024 | Published | Conference Paper | IST-REx-ID: 17145 |
Rote G, Rüber M, Saghafian M. 2024. Grid peeling of parabolas. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 76.
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2024 | Published | Journal Article | IST-REx-ID: 18604 |
De Nooijer P, Terziadis S, Weinberger A, Masárová Z, Mchedlidze T, Löffler M, Rote G. 2024. Removing popular faces in curve arrangements. Journal of Graph Algorithms and Applications. 28(2), 47–82.
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2024 | Published | Conference Paper | IST-REx-ID: 18998 |
Draganov O, Skiena S. 2024. The shape of word embeddings: Quantifying non-isometry with topological data analysis. Findings of the Association for Computational Linguistics: EMNLP 2024. EMNLP: Conference on Empirical Methods in Natural Language Processing, 12080–12099.
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2024 | Submitted | Preprint | IST-REx-ID: 18999 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic topological data analysis. arXiv, 2406.04102.
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2024 | Draft | Preprint | IST-REx-ID: 18673 |
Edelsbrunner H, Heiss T. Merge trees of periodic filtrations. arXiv, 10.48550/arXiv.2408.16575.
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2024 | Published | Conference Paper | IST-REx-ID: 18556 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. 2024. The Euclidean MST-ratio for bi-colored lattices. 32nd International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LIPIcs, vol. 320, 3.
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2024 | Published | Conference Paper | IST-REx-ID: 17146 |
Edelsbrunner H, Pach J. 2024. Maximum Betti numbers of Čech complexes. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 53.
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2024 | Published | Conference Paper | IST-REx-ID: 17170 |
Attali D, Kourimska H, Fillmore CD, Ghosh I, Lieutier A, Stephenson ER, Wintraecken M. 2024. Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of euclidean spaces and of Riemannian manifolds. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 11:1-11:19.
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2024 | Published | Conference Paper | IST-REx-ID: 18097 |
Attali D, Kourimska H, Fillmore CD, Ghosh I, Lieutier A, Stephenson ER, Wintraecken M. 2024. The ultimate frontier: An optimality construction for homotopy inference (media exposition). 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 87.
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