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307 Publications


2026 | Published | Journal Article | IST-REx-ID: 20456 | OA | PlanS
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.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 20980 | OA
Dey, Tamal K., Andrew Haas, and Michał Lipiński. “Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition.” SIAM Journal on Applied Dynamical Systems. Society for Industrial & Applied Mathematics, 2026. https://doi.org/10.1137/25m1739406.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Thesis | PhD | IST-REx-ID: 21021 | OA
Fillmore, Christopher D. “Braiding Geometry and Topology to Study Shapes and Data.” Institute of Science and Technology Austria, 2026. https://doi.org/10.15479/AT-ISTA-21021.
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2026 | Draft | Preprint | IST-REx-ID: 21051 | OA
Chambers, Erin, Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs Wintraecken. “Braiding Vineyards.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2504.11203.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Book Chapter | IST-REx-ID: 21056 | OA
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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 21115 | OA | PlanS
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.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 

2026 | Published | Journal Article | IST-REx-ID: 21232 | OA | PlanS
Bleile, Yossi. “Towards Stratified Space Learning: 2-Complexes.” La Matematica. Springer Nature, 2026. https://doi.org/10.1007/s44007-025-00183-9.
[Published Version] View | Files available | DOI | arXiv
 

2026 | Published | Conference Paper | IST-REx-ID: 21374 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 21407 | OA | PlanS
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.
[Published Version] View | Files available | DOI | arXiv
 

2026 | Published | Conference Paper | IST-REx-ID: 21410 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | 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.
View | DOI | WoS
 

2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
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] View | Files available | DOI | arXiv
 

2025 | Published | Conference Paper | IST-REx-ID: 20006 | OA
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.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
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.
[Published Version] View | Files available | DOI
 

2025 | Published | Journal Article | IST-REx-ID: 20293 | OA | PlanS
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.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

2025 | Published | Journal Article | IST-REx-ID: 20323 | OA | PlanS
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.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20490 | OA
Edelsbrunner, Herbert, Alexey Garber, Mohadese Ghafari, Teresa Heiss, and Morteza Saghafian. “Flips in Two-Dimensional Hypertriangulations.” European Journal of Combinatorics. Elsevier, 2025. https://doi.org/10.1016/j.ejc.2025.104248.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585
Cultrera di Montesano, Sebastiano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “Chromatic Alpha Complexes.” Foundations of Data Science. American Institute of Mathematical Sciences, 2025. https://doi.org/10.3934/fods.2025003.
[Preprint] View | Files available | DOI | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20657 | OA | PlanS
Edelsbrunner, Herbert, and János Pach. “Maximum Betti Numbers of Čech Complexes.” Discrete & Computational Geometry. Springer Nature, 2025. https://doi.org/10.1007/s00454-025-00796-5.
[Published Version] View | Files available | DOI | Download Published Version (ext.) | WoS | arXiv
 

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