ISTA Research Explorer

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Chris Fillmore

Herbert Edelsbrunner

Irene Pisapia

Nicolò Zava

Michal Lipinski

Yossi Bokor Bleile

Ziga Virk

Arseniy Akopyan

Ondrej Draganov

Farid Karimipour

Salman Parsa

Jan Reininghaus

Adam Brown

Morteza Saghafian

Stefan Huber

Adrian Ion

Florian Pausinger

Mirko Klukas

Michael Kerber

Chao Chen

Hana Dal Poz Kourimska

Mabel Iglesias Ham

Manuel Soriano Trigueros

Anton Nikitenko

Pawel Pilarczyk

Marek Krcál

Ulrich Bauer

Teresa Heiss

Ranita Biswas

Katharina Ölsböck

Hubert Wagner

Elizabeth Stephenson

Florestan Brunck

Pach, János

Amit Patel

Bei Wang

Georg Osang

Paul Bendich

Sebastiano Cultrera di Montesano

Mathijs Wintraecken

Grzegorz Jablonski

307 Publications

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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.

[Published Version] View | Files available | DOI | WoS | arXiv

2026 | Published | Journal Article | IST-REx-ID: 20980 |

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 |

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.

[Published Version] View | Files available | DOI

2026 | Draft | Preprint | IST-REx-ID: 21051 |

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 |

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

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

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 |

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

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 |

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 |

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 |

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 |

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

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

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.

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 |

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

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.

Edelsbrunner Group

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307 Publications

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Edelsbrunner Group

Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).

Alumni

307 Publications

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