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282 Publications
2025 | Published | Thesis | IST-REx-ID: 18979 | 
Draganov, Ondrej. Structures and Computations in Topological Data Analysis. Institute of Science and Technology Austria, 2025, doi:10.15479/at:ista:18979.
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2025 | Published | Journal Article | IST-REx-ID: 18626 |
Edelsbrunner, Herbert, et al. “Order-2 Delaunay Triangulations Optimize Angles.” Advances in Mathematics, vol. 461, 110055, Elsevier, 2025, doi:10.1016/j.aim.2024.110055.
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2024 | Published | Journal Article | IST-REx-ID: 18604 |
De Nooijer, Phoebe, et al. “Removing Popular Faces in Curve Arrangements.” Journal of Graph Algorithms and Applications, vol. 28, no. 2, Brown University, 2024, pp. 47–82, doi:10.7155/jgaa.v28i2.2988.
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2024 | Published | Journal Article | IST-REx-ID: 13182 |
Biswas, Ranita, et al. “Geometric Characterization of the Persistence of 1D Maps.” Journal of Applied and Computational Topology, vol. 8, Springer Nature, 2024, pp. 1101–19, doi:10.1007/s41468-023-00126-9.
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2024 | Published | Journal Article | IST-REx-ID: 15247 |
Frankl, Peter, et al. “Odd-Sunflowers.” Journal of Combinatorial Theory, Series A, vol. 206, no. 8, 105889, Elsevier, 2024, doi:10.1016/j.jcta.2024.105889.
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2024 | Published | Journal Article | IST-REx-ID: 15380 |
Biswas, Ranita, et al. “Depth in Arrangements: Dehn–Sommerville–Euler Relations with Applications.” Journal of Applied and Computational Topology, vol. 8, Springer Nature, 2024, pp. 557–78, doi:10.1007/s41468-024-00173-w.
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2024 | Published | Thesis | IST-REx-ID: 18667 |
Heiss, Teresa. New Methods for Applying Topological Data Analysis to Materials Science. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:18667.
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2024 | Draft | Preprint | IST-REx-ID: 18673 |
Edelsbrunner, Herbert, and Teresa Heiss. “Merge Trees of Periodic Filtrations.” ArXiv, doi:10.48550/arXiv.2408.16575.
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2024 | Published | Conference Paper | IST-REx-ID: 15093 |
Cultrera di Montesano, Sebastiano, et al. “Dynamically Maintaining the Persistent Homology of Time Series.” Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), edited by David P. Woodruff, Society for Industrial and Applied Mathematics, 2024, pp. 243–95, doi:10.1137/1.9781611977912.11.
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2024 | Published | Thesis | IST-REx-ID: 15094 |
Cultrera di Montesano, Sebastiano. Persistence and Morse Theory for Discrete Geometric Structures. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:15094.
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2024 | Draft | Preprint | IST-REx-ID: 18981 |
Brown, Adam, and Ondrej Draganov. “Discrete Microlocal Morse Theory.” ArXiv, doi:10.48550/arXiv.2209.14993.
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2024 | Draft | Preprint | IST-REx-ID: 15091 |
Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” ArXiv, 2212.03128, doi:10.48550/arXiv.2212.03128.
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2024 | Published | Conference Paper | IST-REx-ID: 18998 |
Draganov, Ondrej, and Steven Skiena. “The Shape of Word Embeddings: Quantifying Non-Isometry with Topological Data Analysis.” Findings of the Association for Computational Linguistics: EMNLP 2024, Association for Computational Linguistics, 2024, pp. 12080–99, doi:10.18653/v1/2024.findings-emnlp.705.
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2024 | Submitted | Preprint | IST-REx-ID: 18999 |
Cultrera di Montesano, Sebastiano, et al. “Chromatic Topological Data Analysis.” ArXiv, 2406.04102, doi:10.48550/ARXIV.2406.04102.
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2024 | Published | Journal Article | IST-REx-ID: 14345 |
Edelsbrunner, Herbert, et al. “On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane.” Discrete and Computational Geometry, vol. 72, Springer Nature, 2024, pp. 29–48, doi:10.1007/s00454-023-00566-1.
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2024 | Published | Conference Paper | IST-REx-ID: 17144 |
Kourimska, Hana, et al. “The Medial Axis of Any Closed Bounded Set Is Lipschitz Stable with Respect to the Hausdorff Distance Under Ambient Diffeomorphisms.” 40th International Symposium on Computational Geometry, vol. 293, 69, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.SoCG.2024.69.
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2024 | Published | Conference Paper | IST-REx-ID: 17145 |
Rote, Günter, et al. “Grid Peeling of Parabolas.” 40th International Symposium on Computational Geometry, vol. 293, 76, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.SoCG.2024.76.
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2024 | Published | Conference Paper | IST-REx-ID: 17146 |
Edelsbrunner, Herbert, and János Pach. “Maximum Betti Numbers of Čech Complexes.” 40th International Symposium on Computational Geometry, vol. 293, 53, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.SoCG.2024.53.
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2024 | Epub ahead of print | Journal Article | IST-REx-ID: 17149 |
Edelsbrunner, Herbert, and Anton Nikitenko. “Average and Expected Distortion of Voronoi Paths and Scapes.” Discrete and Computational Geometry, Springer Nature, 2024, doi:10.1007/s00454-024-00660-y.
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2024 | Published | Conference Paper | IST-REx-ID: 17170 |
Attali, Dominique, et al. “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, vol. 293, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, p. 11:1-11:19, doi:10.4230/LIPIcs.SoCG.2024.11.
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