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36 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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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 | Epub ahead of print | Journal Article | IST-REx-ID: 19860 |
B. Aronov, A. Basit, I. Ramesh, G. Tasinato, and U. Wagner, “Eight-partitioning points in 3D, and efficiently too,” Discrete and Computational Geometry. Springer Nature, 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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| arXiv
2024 | Published | Journal Article | IST-REx-ID: 13974 |
R. Fulek, B. Gärtner, A. Kupavskii, P. Valtr, and U. Wagner, “The crossing Tverberg theorem,” Discrete and Computational Geometry, vol. 72. Springer Nature, pp. 831–848, 2024.
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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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2023 | Published | Journal Article | IST-REx-ID: 13270 |
F. R. Brunck, “Iterated medial triangle subdivision in surfaces of constant curvature,” Discrete and Computational Geometry, vol. 70, no. 3. Springer Nature, pp. 1059–1089, 2023.
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2023 | Published | Journal Article | IST-REx-ID: 11999 |
A. M. Arroyo Guevara, F. Klute, I. Parada, B. Vogtenhuber, R. Seidel, and T. Wiedera, “Inserting one edge into a simple drawing is hard,” Discrete and Computational Geometry, vol. 69. Springer Nature, pp. 745–770, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12287 |
J.-D. Boissonnat, R. Dyer, A. Ghosh, and M. Wintraecken, “Local criteria for triangulating general manifolds,” Discrete & Computational Geometry, vol. 69. Springer Nature, pp. 156–191, 2023.
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2023 | Published | Journal Article | IST-REx-ID: 12764 |
H. Kourimska, “Discrete yamabe problem for polyhedral surfaces,” Discrete and Computational Geometry, vol. 70. Springer Nature, pp. 123–153, 2023.
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2023 | Published | Journal Article | IST-REx-ID: 12709 |
R. Corbet, M. Kerber, M. Lesnick, and G. F. Osang, “Computing the multicover bifiltration,” Discrete and Computational Geometry, vol. 70. Springer Nature, pp. 376–405, 2023.
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2022 | Published | Journal Article | IST-REx-ID: 10773 |
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics,” Discrete and Computational Geometry, vol. 67. Springer Nature, pp. 811–842, 2022.
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2022 | Published | Journal Article | IST-REx-ID: 10776 |
Z. Patakova, M. Tancer, and U. Wagner, “Barycentric cuts through a convex body,” Discrete and Computational Geometry, vol. 68. Springer Nature, pp. 1133–1154, 2022.
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2022 | Published | Journal Article | IST-REx-ID: 11593 |
R. Fulek and J. Kynčl, “The Z2-Genus of Kuratowski minors,” Discrete and Computational Geometry, vol. 68. Springer Nature, pp. 425–447, 2022.
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| arXiv
2022 | Published | Journal Article | IST-REx-ID: 12129 |
U. Wagner and E. Welzl, “Connectivity of triangulation flip graphs in the plane,” Discrete & Computational Geometry, vol. 68, no. 4. Springer Nature, pp. 1227–1284, 2022.
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2021 | Published | Journal Article | IST-REx-ID: 11446
S. Avvakumov and S. Kudrya, “Vanishing of all equivariant obstructions and the mapping degree,” Discrete & Computational Geometry, vol. 66, no. 3. Springer Nature, pp. 1202–1216, 2021.
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2021 | Published | Journal Article | IST-REx-ID: 8338 |
A. Akopyan, A. I. Bobenko, W. K. Schief, and J. Techter, “On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs,” Discrete and Computational Geometry, vol. 66. Springer Nature, pp. 938–976, 2021.
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2021 | Published | Journal Article | IST-REx-ID: 7905 |
A. Brown and B. Wang, “Sheaf-theoretic stratification learning from geometric and topological perspectives,” Discrete and Computational Geometry, vol. 65. Springer Nature, pp. 1166–1198, 2021.
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 8940 |
J.-D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Triangulating submanifolds: An elementary and quantified version of Whitney’s method,” Discrete & Computational Geometry, vol. 66, no. 1. Springer Nature, pp. 386–434, 2021.
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2021 | Published | Journal Article | IST-REx-ID: 8248 |
J.-D. Boissonnat, R. Dyer, A. Ghosh, A. Lieutier, and M. Wintraecken, “Local conditions for triangulating submanifolds of Euclidean space,” Discrete and Computational Geometry, vol. 66. Springer Nature, pp. 666–686, 2021.
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