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317 Publications
2026 |
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Journal Article |
IST-REx-ID: 20657 |
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Edelsbrunner, Herbert, and János Pach. “Maximum Betti Numbers of Čech Complexes.” Discrete & Computational Geometry. Springer Nature, 2026. https://doi.org/10.1007/s00454-025-00796-5.
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| arXiv
2026 |
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Journal Article |
IST-REx-ID: 20585 |
Cultrera di Montesano, Sebastiano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “Chromatic Alpha Complexes.” Foundations of Data Science. AIMS, 2026. https://doi.org/10.3934/fods.2025003.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 23087 |
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Pegoraro, Matteo, Rasmus Christensen, Søren S. Sørensen, Anders R. Lindbjerg, Tao Du, Yossi Bokor Bleile, Anne Marie Svane, Christophe A.N. Biscio, Lisbeth Fajstrup, and Morten M. Smedskjaer. “Predicting Ionic Conductivity of Sulfide Glass Solid-State Electrolytes Using Max-Flow Methodology.” Nature Communications. Springer Nature, 2026. https://doi.org/10.1038/s41467-026-77363-w.
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| PubMed | Europe PMC
2025 |
Published |
Journal Article |
IST-REx-ID: 20867 |
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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.
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 18626 |
Edelsbrunner, Herbert, Alexey Garber, and Morteza Saghafian. “Order-2 Delaunay Triangulations Optimize Angles.” Advances in Mathematics. Elsevier, 2025. https://doi.org/10.1016/j.aim.2024.110055.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 19937
Mahini, Mohammad, Hamid Beigy, Salman Qadami, and Morteza Saghafian. “Simplet-Based Signatures and Approximation in Simplicial Complexes: Frequency, Degree, and Centrality.” Information Sciences. Elsevier, 2025. https://doi.org/10.1016/j.ins.2025.122425.
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2025 |
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Conference Paper |
IST-REx-ID: 20005 |
Edelsbrunner, Herbert, Alexey Garber, and Morteza Saghafian. “On Spheres with k Points Inside.” In 41st International Symposium on Computational Geometry, Vol. 332. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025. https://doi.org/10.4230/LIPIcs.SoCG.2025.43.
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| arXiv
2025 |
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Conference Paper |
IST-REx-ID: 20006 |
Ost, Lara, Sebastiano Cultrera di Montesano, and Herbert Edelsbrunner. “Banana Trees for the Persistence in Time Series Experimentally.” In 41st International Symposium on Computational Geometry, Vol. 332. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025. https://doi.org/10.4230/LIPIcs.SoCG.2025.71.
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 20260 |
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Chambers, Erin Wolf, Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “Burning or Collapsing the Medial Axis Is Unstable.” La Matematica. Springer Nature, 2025. https://doi.org/10.1007/s44007-025-00170-0.
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2025 |
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Journal Article |
IST-REx-ID: 20293 |
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Akopyan, Arseniy, Herbert Edelsbrunner, Ziga Virk, and Hubert Wagner. “Tight Bounds between the Jensen–Shannon Divergence and the Minmax Divergence.” Entropy. MDPI, 2025. https://doi.org/10.3390/e27080854.
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| PubMed | Europe PMC
2025 |
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Conference Paper |
IST-REx-ID: 20658 |
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.
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| arXiv
2025 |
Published |
Conference Paper |
IST-REx-ID: 20729 |
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 |
Submitted |
Preprint |
IST-REx-ID: 21016 |
Bokor 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.
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earlier version | 2025 |
Draft |
Preprint |
IST-REx-ID: 21050 |
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.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 17149 |
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.
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| PubMed | Europe PMC
| arXiv
2025 |
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Journal Article |
IST-REx-ID: 21253 |
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.
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| arXiv
2025 |
Published |
Thesis | PhD |
IST-REx-ID: 18979 |
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 |
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Journal Article |
IST-REx-ID: 20323 |
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Brown, Adam, and Ondrej Draganov. “Discrete Microlocal Morse Theory.” Journal of Pure and Applied Algebra. Elsevier, 2025. https://doi.org/10.1016/j.jpaa.2025.108068.
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 14888 |
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.
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18604 |
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.
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