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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. Elsevier. https://doi.org/10.1016/j.aim.2024.110055
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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. Springer Nature. https://doi.org/10.1007/s00454-024-00660-y
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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. https://doi.org/10.15479/at:ista:18979
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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. In 41st International Symposium on Computational Geometry (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2025.71
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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. In 41st International Symposium on Computational Geometry (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2025.43
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20260 |
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Chambers, E. W., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2025). Burning or collapsing the medial axis is unstable. La Matematica. Springer Nature. https://doi.org/10.1007/s44007-025-00170-0
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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. Elsevier. https://doi.org/10.1016/j.jpaa.2025.108068
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19937
Mahini, M., Beigy, H., Qadami, S., & Saghafian, M. (2025). Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality. Information Sciences. Elsevier. https://doi.org/10.1016/j.ins.2025.122425
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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. MDPI. https://doi.org/10.3390/e27080854
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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. Springer Nature. https://doi.org/10.1007/s00454-025-00778-7
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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. Elsevier. https://doi.org/10.1016/j.ejc.2025.104248
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2024 | Published | Conference Paper | IST-REx-ID: 17145 |
Rote, G., Rüber, M., & Saghafian, M. (2024). Grid peeling of parabolas. In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.76
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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. Brown University. https://doi.org/10.7155/jgaa.v28i2.2988
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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. In Findings of the Association for Computational Linguistics: EMNLP 2024 (pp. 12080–12099). Miami, FL, United States: Association for Computational Linguistics. https://doi.org/10.18653/v1/2024.findings-emnlp.705
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2024 | Submitted | Preprint | IST-REx-ID: 18999 |
Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (n.d.). Chromatic topological data analysis. arXiv. https://doi.org/10.48550/ARXIV.2406.04102
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2024 | Draft | Preprint | IST-REx-ID: 18673 |
Edelsbrunner, H., & Heiss, T. (n.d.). Merge trees of periodic filtrations. arXiv. https://doi.org/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. In 32nd International Symposium on Graph Drawing and Network Visualization (Vol. 320). Vienna, Austria: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.GD.2024.3
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2024 | Published | Conference Paper | IST-REx-ID: 17146 |
Edelsbrunner, H., & Pach, J. (2024). Maximum Betti numbers of Čech complexes. In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.53
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| arXiv
2024 | Published | Conference Paper | IST-REx-ID: 17170 |
Attali, D., Kourimska, H., Fillmore, C. D., Ghosh, I., Lieutier, A., Stephenson, E. R., & 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. In 40th International Symposium on Computational Geometry (Vol. 293, p. 11:1-11:19). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.11
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2024 | Published | Conference Paper | IST-REx-ID: 18097 |
Attali, D., Kourimska, H., Fillmore, C. D., Ghosh, I., Lieutier, A., Stephenson, E. R., & Wintraecken, M. (2024). The ultimate frontier: An optimality construction for homotopy inference (media exposition). In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.87
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