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307 Publications
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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| arXiv
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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| arXiv
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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| PubMed | Europe PMC
| 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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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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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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| arXiv
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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| arXiv
2024 |
Published |
Thesis | PhD |
IST-REx-ID: 18667 |
Heiss T. 2024. New methods for applying topological data analysis to materials science. Institute of Science and Technology Austria.
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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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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 13182 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2024. Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology. 8, 1101–1119.
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2024 |
Draft |
Preprint |
IST-REx-ID: 18981 |
Brown A, Draganov O. Discrete microlocal Morse theory. arXiv, 10.48550/arXiv.2209.14993.
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| arXiv
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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| arXiv
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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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 14888 |
De Nooijer P, Terziadis S, Weinberger A, Masárová Z, Mchedlidze T, Löffler M, Rote G. 2024. Removing popular faces in curve arrangements. 31st International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LNCS, vol. 14466, 18–33.
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