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316 Publications
2025 |
Published |
Conference Paper |
IST-REx-ID: 20005 |
H. Edelsbrunner, A. Garber, and M. Saghafian, “On spheres with k points inside,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
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| arXiv
2025 |
Published |
Conference Paper |
IST-REx-ID: 20006 |
L. Ost, S. Cultrera di Montesano, and H. Edelsbrunner, “Banana trees for the persistence in time series experimentally,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20260 |
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E. W. Chambers, C. D. Fillmore, E. R. Stephenson, and M. Wintraecken, “Burning or collapsing the medial axis is unstable,” La Matematica, vol. 4. Springer Nature, pp. 811–828, 2025.
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2025 |
Published |
Journal Article |
IST-REx-ID: 20293 |
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A. Akopyan, H. Edelsbrunner, Z. Virk, and H. Wagner, “Tight bounds between the Jensen–Shannon divergence and the minmax divergence,” Entropy, vol. 27, no. 8. MDPI, 2025.
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| PubMed | Europe PMC
2025 |
Published |
Conference Paper |
IST-REx-ID: 20658 |
H. Edelsbrunner, E. R. Stephenson, and M. H. Thoresen, “The mid-sphere cousin of the medial axis transform,” in 4th International Joint Conference on Discrete Geometry and Mathematical Morphology, Groningen, The Netherlands, 2025, vol. 16296, pp. 133–147.
[Preprint]
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| arXiv
2025 |
Published |
Conference Paper |
IST-REx-ID: 20729 |
R. Gonzalez-Diaz, M. Soriano Trigueros, and A. Torras-Casas, “Additive partial matchings for persistent homology,” in Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation, Guanajuato, Mexico, 2025, pp. 188–196.
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2025 |
Submitted |
Preprint |
IST-REx-ID: 21016 |
Y. Bokor Bleile, L. Fajstrup, T. Heiss, A. M. Svane, and S. S. Sørensen, “Identifying cobordisms using kernel persistence,” arXiv. .
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| arXiv
earlier version | 2025 |
Draft |
Preprint |
IST-REx-ID: 21050 |
H. Edelsbrunner, C. D. Fillmore, and G. Olivera, “Counting equilibria of the electrostatic potential,” arXiv. .
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 17149 |
H. Edelsbrunner and A. Nikitenko, “Average and expected distortion of Voronoi paths and scapes,” Discrete & Computational Geometry, vol. 73. Springer Nature, pp. 490–499, 2025.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 21253 |
J. Pach, M. Saghafian, and P. Schnider, “Decomposition of geometric graphs into star-forests,” Computational Geometry, vol. 129. Elsevier, 2025.
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| arXiv
2025 |
Published |
Thesis | PhD |
IST-REx-ID: 18979 |
O. Draganov, “Structures and computations in topological data analysis,” Institute of Science and Technology Austria, 2025.
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2025 |
Published |
Journal Article |
IST-REx-ID: 20323 |
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A. Brown and O. Draganov, “Discrete microlocal Morse theory,” Journal of Pure and Applied Algebra, vol. 229, no. 10. Elsevier, 2025.
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 14888 |
P. De Nooijer et al., “Removing popular faces in curve arrangements,” in 31st International Symposium on Graph Drawing and Network Visualization, Isola delle Femmine, Palermo, Italy, 2024, vol. 14466, pp. 18–33.
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18604 |
P. De Nooijer et al., “Removing popular faces in curve arrangements,” Journal of Graph Algorithms and Applications, vol. 28, no. 2. Brown University, pp. 47–82, 2024.
[Published Version]
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 18998 |
O. Draganov and S. Skiena, “The shape of word embeddings: Quantifying non-isometry with topological data analysis,” in Findings of the Association for Computational Linguistics: EMNLP 2024, Miami, FL, United States, 2024, pp. 12080–12099.
[Published Version]
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| arXiv
2024 |
Submitted |
Preprint |
IST-REx-ID: 18999 |
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic topological data analysis,” arXiv. .
[Preprint]
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 17170 |
D. Attali 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, Athens, Greece, 2024, vol. 293, p. 11:1-11:19.
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 14345 |
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “On angles in higher order Brillouin tessellations and related tilings in the plane,” Discrete and Computational Geometry, vol. 72. Springer Nature, pp. 29–48, 2024.
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 17144 |
H. Kourimska, A. Lieutier, and M. Wintraecken, “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, Athens, Greece, 2024, vol. 293.
[Published Version]
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| arXiv
earlier version | 2024 |
Published |
Conference Paper |
IST-REx-ID: 17146 |
H. Edelsbrunner and J. Pach, “Maximum Betti numbers of Čech complexes,” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
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