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297 Publications
2026 | Published | Journal Article | IST-REx-ID: 20456 | 
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R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” Discrete and Computational Geometry, vol. 75. Springer Nature, pp. 24–47, 2026.
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2026 | Published | Journal Article | IST-REx-ID: 20980 |
T. K. Dey, A. Haas, and M. Lipiński, “Computing a connection matrix and persistence efficiently from a morse decomposition,” SIAM Journal on Applied Dynamical Systems, vol. 25, no. 1. Society for Industrial & Applied Mathematics, pp. 108–130, 2026.
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2025 | Published | Journal Article | IST-REx-ID: 18626 |
H. Edelsbrunner, A. Garber, and M. Saghafian, “Order-2 Delaunay triangulations optimize angles,” Advances in Mathematics, vol. 461. Elsevier, 2025.
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2025 | Published | Journal Article | IST-REx-ID: 17149 |
H. Edelsbrunner and A. Nikitenko, “Average and expected distortion of Voronoi paths and scapes,” Discrete and Computational Geometry, vol. 73. Springer Nature, pp. 490–499, 2025.
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2025 | Published | Thesis | 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 | 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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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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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” Foundations of Data Science, vol. 8. American Institute of Mathematical Sciences, pp. 30–62, 2025.
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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.
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20490 |
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “Flips in two-dimensional hypertriangulations,” European Journal of Combinatorics, vol. 132. Elsevier, 2025.
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20657 |
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H. Edelsbrunner and J. Pach, “Maximum Betti numbers of Čech complexes,” Discrete & Computational Geometry. Springer Nature, 2025.
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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 | 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: 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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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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2025 | Published | Journal Article | IST-REx-ID: 20867 |
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N. Zava, “Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces,” Algebraic & Geometric Topology, vol. 25, no. 8. Mathematical Sciences Publishers, pp. 5153–5174, 2025.
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2025 | Submitted | Preprint | IST-REx-ID: 21016 |
Y. Bleile, L. Fajstrup, T. Heiss, A. M. Svane, and S. S. Sørensen, “Identifying cobordisms using kernel persistence,” arXiv. .
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2024 | Published | Conference Paper | IST-REx-ID: 17145 |
G. Rote, M. Rüber, and M. Saghafian, “Grid peeling of parabolas,” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
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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.
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