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307 Publications


2025 | Published | Conference Paper | IST-REx-ID: 20658 | OA
Edelsbrunner, Herbert, Elizabeth R Stephenson, and Martin H Thoresen. “The Mid-Sphere Cousin of the Medial Axis Transform.” In 4th International Joint Conference on Discrete Geometry and Mathematical Morphology, 16296:133–47. Springer Nature, 2025. https://doi.org/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, Rocio, Manuel Soriano Trigueros, and Alvaro Torras-Casas. “Additive Partial Matchings for Persistent Homology.” In Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation, 188–96. Association for Computing Machinery, 2025. https://doi.org/10.1145/3747199.3747561.
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2025 | Published | Thesis | PhD | IST-REx-ID: 18979 | OA
Draganov, Ondrej. “Structures and Computations in Topological Data Analysis.” Institute of Science and Technology Austria, 2025. https://doi.org/10.15479/at:ista:18979.
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2025 | Published | Journal Article | IST-REx-ID: 20867 | OA | PlanS
Zava, Nicolò. “Coarse and Bi-Lipschitz Embeddability of Subspaces of the Gromov–Hausdorff Space into Hilbert Spaces.” Algebraic & Geometric Topology. Mathematical Sciences Publishers, 2025. https://doi.org/10.2140/agt.2025.25.5153.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Submitted | Preprint | IST-REx-ID: 21016 | OA
Bleile, Yossi, Lisbeth Fajstrup, Teresa Heiss, Anne Marie Svane, and Søren Strandskov Sørensen. “Identifying Cobordisms Using Kernel Persistence.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2505.17858.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Draft | Preprint | IST-REx-ID: 21050 | OA
Edelsbrunner, Herbert, Christopher D Fillmore, and Gonçalo Olivera. “Counting Equilibria of the Electrostatic Potential.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2501.05315.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21253 | OA
Pach, János, Morteza Saghafian, and Patrick Schnider. “Decomposition of Geometric Graphs into Star-Forests.” Computational Geometry. Elsevier, 2025. https://doi.org/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, Herbert, and Anton Nikitenko. “Average and Expected Distortion of Voronoi Paths and Scapes.” Discrete & Computational Geometry. Springer Nature, 2025. https://doi.org/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, Herbert, Alexey Garber, Mohadese Ghafari, Teresa Heiss, and Morteza Saghafian. “On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane.” Discrete and Computational Geometry. Springer Nature, 2024. https://doi.org/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, Herbert, Katharina Ölsböck, and Hubert Wagner. “Understanding Higher-Order Interactions in Information Space.” Entropy. MDPI, 2024. https://doi.org/10.3390/e26080637.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

2024 | Published | Conference Paper | IST-REx-ID: 18097 | OA
Attali, Dominique, Hana Kourimska, Christopher D Fillmore, Ishika Ghosh, Andre Lieutier, Elizabeth R Stephenson, and Mathijs Wintraecken. “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. https://doi.org/10.4230/LIPIcs.SoCG.2024.87.
[Published Version] View | Files available | DOI
 

2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
Cultrera di Montesano, Sebastiano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “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. https://doi.org/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, Phoebe, Soeren Terziadis, Alexandra Weinberger, Zuzana Masárová, Tamara Mchedlidze, Maarten Löffler, and Günter Rote. “Removing Popular Faces in Curve Arrangements.” Journal of Graph Algorithms and Applications. Brown University, 2024. https://doi.org/10.7155/jgaa.v28i2.2988.
[Published Version] View | Files available | DOI | arXiv
 

2024 | Published | Thesis | PhD | IST-REx-ID: 18667 | OA
Heiss, Teresa. “New Methods for Applying Topological Data Analysis to Materials Science.” Institute of Science and Technology Austria, 2024. https://doi.org/10.15479/at:ista:18667.
[Published Version] View | Files available | DOI
 

2024 | Draft | Preprint | IST-REx-ID: 18673 | OA
Edelsbrunner, Herbert, and Teresa Heiss. “Merge Trees of Periodic Filtrations.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2408.16575.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and Morteza Saghafian. “Geometric Characterization of the Persistence of 1D Maps.” Journal of Applied and Computational Topology. Springer Nature, 2024. https://doi.org/10.1007/s41468-023-00126-9.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 

2024 | Draft | Preprint | IST-REx-ID: 18981 | OA
Brown, Adam, and Ondrej Draganov. “Discrete Microlocal Morse Theory.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2209.14993.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Published | Conference Paper | IST-REx-ID: 18998 | OA
Draganov, Ondrej, and Steven Skiena. “The Shape of Word Embeddings: Quantifying Non-Isometry with Topological Data Analysis.” In Findings of the Association for Computational Linguistics: EMNLP 2024, 12080–99. Association for Computational Linguistics, 2024. https://doi.org/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, Sebastiano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “Chromatic Topological Data Analysis.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2406.04102.
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2024 | Published | Conference Paper | IST-REx-ID: 14888 | OA
De Nooijer, Phoebe, Soeren Terziadis, Alexandra Weinberger, Zuzana Masárová, Tamara Mchedlidze, Maarten Löffler, and Günter Rote. “Removing Popular Faces in Curve Arrangements.” In 31st International Symposium on Graph Drawing and Network Visualization, 14466:18–33. Springer Nature, 2024. https://doi.org/10.1007/978-3-031-49275-4_2.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

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