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307 Publications


2025 | Published | Conference Paper | IST-REx-ID: 20658 | OA
Edelsbrunner H, Stephenson ER, Thoresen MH. The mid-sphere cousin of the medial axis transform. In: 4th International Joint Conference on Discrete Geometry and Mathematical Morphology. Vol 16296. Springer Nature; 2025:133-147. doi:10.1007/978-3-032-09544-2_10
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Conference Paper | IST-REx-ID: 20729 | OA
Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. Additive partial matchings for persistent homology. In: Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation. Association for Computing Machinery; 2025:188-196. doi:10.1145/3747199.3747561
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2025 | Published | Thesis | PhD | IST-REx-ID: 18979 | OA
Draganov O. Structures and computations in topological data analysis. 2025. doi:10.15479/at:ista:18979
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2025 | Published | Journal Article | IST-REx-ID: 20867 | OA | PlanS
Zava N. Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces. Algebraic & Geometric Topology. 2025;25(8):5153-5174. doi:10.2140/agt.2025.25.5153
[Published Version] View | Files available | DOI | arXiv
 

2025 | Submitted | Preprint | IST-REx-ID: 21016 | OA
Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms using kernel persistence. arXiv. doi:10.48550/arXiv.2505.17858
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Draft | Preprint | IST-REx-ID: 21050 | OA
Edelsbrunner H, Fillmore CD, Olivera G. Counting equilibria of the electrostatic potential. arXiv. doi:10.48550/ARXIV.2501.05315
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21253 | OA
Pach J, Saghafian M, Schnider P. Decomposition of geometric graphs into star-forests. Computational Geometry. 2025;129. doi:10.1016/j.comgeo.2025.102186
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 17149 | OA
Edelsbrunner H, Nikitenko A. Average and expected distortion of Voronoi paths and scapes. Discrete & Computational Geometry. 2025;73:490-499. doi:10.1007/s00454-024-00660-y
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 14345 | OA
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. 2024;72:29-48. doi:10.1007/s00454-023-00566-1
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 17891 | OA
Edelsbrunner H, Ölsböck K, Wagner H. Understanding higher-order interactions in information space. Entropy. 2024;26(8). doi:10.3390/e26080637
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

2024 | Published | Conference Paper | IST-REx-ID: 18097 | OA
Attali D, Kourimska H, Fillmore CD, et al. The ultimate frontier: An optimality construction for homotopy inference (media exposition). In: 40th International Symposium on Computational Geometry. Vol 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.SoCG.2024.87
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2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. The Euclidean MST-ratio for bi-colored lattices. In: 32nd International Symposium on Graph Drawing and Network Visualization. Vol 320. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.GD.2024.3
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 18604 | OA
De Nooijer P, Terziadis S, Weinberger A, et al. Removing popular faces in curve arrangements. Journal of Graph Algorithms and Applications. 2024;28(2):47-82. doi:10.7155/jgaa.v28i2.2988
[Published Version] View | Files available | DOI | arXiv
 

2024 | Published | Thesis | PhD | IST-REx-ID: 18667 | OA
Heiss T. New methods for applying topological data analysis to materials science. 2024. doi:10.15479/at:ista:18667
[Published Version] View | Files available | DOI
 

2024 | Draft | Preprint | IST-REx-ID: 18673 | OA
Edelsbrunner H, Heiss T. Merge trees of periodic filtrations. arXiv. doi:10.48550/arXiv.2408.16575
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology. 2024;8:1101-1119. doi:10.1007/s41468-023-00126-9
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 

2024 | Draft | Preprint | IST-REx-ID: 18981 | OA
Brown A, Draganov O. Discrete microlocal Morse theory. arXiv. doi:10.48550/arXiv.2209.14993
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Published | Conference Paper | IST-REx-ID: 18998 | OA
Draganov O, Skiena S. The shape of word embeddings: Quantifying non-isometry with topological data analysis. In: Findings of the Association for Computational Linguistics: EMNLP 2024. Association for Computational Linguistics; 2024:12080-12099. doi:10.18653/v1/2024.findings-emnlp.705
[Published Version] View | Files available | DOI | arXiv
 

2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic topological data analysis. arXiv. doi:10.48550/ARXIV.2406.04102
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2024 | Published | Conference Paper | IST-REx-ID: 14888 | OA
De Nooijer P, Terziadis S, Weinberger A, et al. Removing popular faces in curve arrangements. In: 31st International Symposium on Graph Drawing and Network Visualization. Vol 14466. Springer Nature; 2024:18-33. doi:10.1007/978-3-031-49275-4_2
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

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