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312 Publications
2026 |
Published |
Book Chapter |
IST-REx-ID: 21056 |
Chambers, Erin W., Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “Braiding Vineyards.” In Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms, edited by Kasper Green Larsen and Barna Saha, 6240–63. Philadelphia, PA, United States: Society for Industrial and Applied Mathematics, 2026. https://doi.org/10.1137/1.9781611978971.225.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 21115 |
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Bokor Bleile, Yossi, Pooja Yadav, Patrice Koehl, and Florian Rehfeldt. “Persistence Diagrams as Morphological Signatures of Cells: A Method to Measure and Compare Cells within a Population.” PLoS Computational Biology. Public Library of Science, 2026. https://doi.org/10.1371/journal.pcbi.1013890.
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| PubMed | Europe PMC
2026 |
Published |
Journal Article |
IST-REx-ID: 21232 |
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Bokor Bleile, Yossi. “Towards Stratified Space Learning: 2-Complexes.” La Matematica. Springer Nature, 2026. https://doi.org/10.1007/s44007-025-00183-9.
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| arXiv
2026 |
Published |
Conference Paper |
IST-REx-ID: 21374 |
Antić, Todor, Aleksa Džuklevski, Jiří Fiala, Jan Kratochvíl, Giuseppe Liotta, Morteza Saghafian, Maria Saumell, and Johannes Zink. “Edge-Constrained Hamiltonian Paths on a Point Set.” In 51st International Conference on Current Trends in Theory and Practice of Computer Science, 16448:532–46. Springer Nature, 2026. https://doi.org/10.1007/978-3-032-17801-5_39.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 21407 |
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Edelsbrunner, Herbert, Matthew Kahle, and Shu Kanazawa. “Maximum Persistent Betti Numbers of Čech Complexes.” Journal of Applied and Computational Topology. Springer Nature, 2026. https://doi.org/10.1007/s41468-026-00233-3.
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| arXiv
2026 |
Published |
Conference Paper |
IST-REx-ID: 21410 |
Jabal Ameli, Afrouz, Faezeh Motiei, and Morteza Saghafian. “On the MST-Ratio: Theoretical Bounds and Complexity of Finding the Maximum.” In 20th International Conference and Workshops on Algorithms and Computation, 16444:386–401. Springer Nature, 2026. https://doi.org/10.1007/978-981-95-7127-7_26.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 21781 |
Dumitrescu, Adrian, János Pach, Morteza Saghafian, and Alex Scott. “Covering Complete Geometric Graphs by Monotone Paths.” Combinatorics and Number Theory. Mathematical Sciences Publishers, 2026. https://doi.org/10.2140/cnt.2026.15.73.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 21931 |
Edelsbrunner, Herbert, Christopher D Fillmore, and Goncalo Oliveira. “Counting Equilibria of the Electrostatic Potential.” Proceedings of the London Mathematical Society. Wiley, 2026. https://doi.org/10.1112/plms.70163.
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| arXiv
2026 |
Scientific Software |
IST-REx-ID: 21971 |
Bokor Bleile, Yossi, and Emanuele Cortinovis. “Quadrix.” Institute of Science and Technology Austria, 2026. https://doi.org/10.15479/AT-ISTA-21971.
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2026 |
Published |
Journal Article |
IST-REx-ID: 20456 |
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Biswas, Ranita, Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “On the Size of Chromatic Delaunay Mosaics.” Discrete and Computational Geometry. Springer Nature, 2026. https://doi.org/10.1007/s00454-025-00778-7.
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| WoS
| arXiv
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 |
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: 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 |
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 |
Published |
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 |
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 |
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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| WoS
2025 |
Published |
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.
[Published Version]
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| arXiv
2025 |
Published |
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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