ISTA Research Explorer

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Yossi Bokor Bleile

Herbert Edelsbrunner

Irene Pisapia

Michal Lipinski

Ulrich Bauer

Hana Dal Poz Kourimska

Pawel Pilarczyk

Arseniy Akopyan

Sebastiano Cultrera di Montesano

Paul Bendich

Grzegorz Jablonski

Marek Krcál

Hubert Wagner

Nicolò Zava

Ranita Biswas

Ondrej Draganov

Adam Brown

Manuel Soriano Trigueros

Michael Kerber

Pach, János

Elizabeth Stephenson

Stefan Huber

Bei Wang

Mabel Iglesias Ham

Mathijs Wintraecken

Ziga Virk

Chris Fillmore

Teresa Heiss

Salman Parsa

Morteza Saghafian

Anton Nikitenko

Katharina Ölsböck

Georg Osang

Farid Karimipour

Chao Chen

Florian Pausinger

Amit Patel

Adrian Ion

Mirko Klukas

Jan Reininghaus

Florestan Brunck

310 Publications

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Biswas, R., Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2026). On the size of chromatic Delaunay mosaics. Discrete and Computational Geometry. Springer Nature. 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, T. K., Haas, A., & Lipiński, M. (2026). Computing a connection matrix and persistence efficiently from a morse decomposition. SIAM Journal on Applied Dynamical Systems. Society for Industrial & Applied Mathematics. https://doi.org/10.1137/25m1739406

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

2026 | Published | Book Chapter | IST-REx-ID: 21056 |

Chambers, E. W., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2026). Braiding Vineyards. In K. Green Larsen & B. Saha (Eds.), Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms (pp. 6240–6263). Philadelphia, PA, United States: Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9781611978971.225

[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv

2026 | Published | Conference Paper | IST-REx-ID: 21374 |

Antić, T., Džuklevski, A., Fiala, J., Kratochvíl, J., Liotta, G., Saghafian, M., … Zink, J. (2026). Edge-constrained Hamiltonian paths on a point set. In 51st International Conference on Current Trends in Theory and Practice of Computer Science (Vol. 16448, pp. 532–546). Krakow, Poland: Springer Nature. https://doi.org/10.1007/978-3-032-17801-5_39

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Edelsbrunner, H., Kahle, M., & Kanazawa, S. (2026). Maximum persistent Betti numbers of Čech complexes. Journal of Applied and Computational Topology. Springer Nature. 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, A., Motiei, F., & Saghafian, M. (2026). On the MST-ratio: Theoretical bounds and complexity of finding the maximum. In 20th International Conference and Workshops on Algorithms and Computation (Vol. 16444, pp. 386–401). Perugia, Italy: Springer Nature. https://doi.org/10.1007/978-981-95-7127-7_26

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2026 | Published | Thesis | PhD | IST-REx-ID: 21021 |

Fillmore, C. D. (2026). Braiding geometry and topology to study shapes and data. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-21021

[Published Version] View | Files available | DOI

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

Chambers, E., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (n.d.). Braiding vineyards. arXiv. https://doi.org/10.48550/ARXIV.2504.11203

[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv

2026 | Published | Journal Article | IST-REx-ID: 21781 |

Dumitrescu, A., Pach, J., Saghafian, M., & Scott, A. (2026). Covering complete geometric graphs by monotone paths. Combinatorics and Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/cnt.2026.15.73

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2026 | Published | Journal Article | IST-REx-ID: 21931 |

Edelsbrunner, H., Fillmore, C. D., & Oliveira, G. (2026). Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.70163

[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv

Bokor Bleile, Y., Yadav, P., Koehl, P., & Rehfeldt, F. (2026). Persistence diagrams as morphological signatures of cells: A method to measure and compare cells within a population. PLoS Computational Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1013890

[Published Version] View | Files available | DOI | PubMed | Europe PMC

Bokor Bleile, Y. (2026). Towards stratified space learning: 2-complexes. La Matematica. Springer Nature. https://doi.org/10.1007/s44007-025-00183-9

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

2026 | Scientific Software | IST-REx-ID: 21971 |

Bokor Bleile, Y., & Cortinovis, E. (2026). Quadrix. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-21971

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2025 | Published | Journal Article | IST-REx-ID: 18626 |

Edelsbrunner, H., Garber, A., & Saghafian, M. (2025). Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.110055

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2025 | Published | Journal Article | IST-REx-ID: 19937

Mahini, M., Beigy, H., Qadami, S., & Saghafian, M. (2025). Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality. Information Sciences. Elsevier. https://doi.org/10.1016/j.ins.2025.122425

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2025 | Published | Conference Paper | IST-REx-ID: 20005 |

Edelsbrunner, H., Garber, A., & Saghafian, M. (2025). On spheres with k points inside. In 41st International Symposium on Computational Geometry (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. 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, L., Cultrera di Montesano, S., & Edelsbrunner, H. (2025). Banana trees for the persistence in time series experimentally. In 41st International Symposium on Computational Geometry (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2025.71

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

Akopyan, A., Edelsbrunner, H., Virk, Z., & Wagner, H. (2025). Tight bounds between the Jensen–Shannon divergence and the minmax divergence. Entropy. MDPI. https://doi.org/10.3390/e27080854

Brown, A., & Draganov, O. (2025). Discrete microlocal Morse theory. Journal of Pure and Applied Algebra. Elsevier. 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, H., Garber, A., Ghafari, M., Heiss, T., & Saghafian, M. (2025). Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. Elsevier. https://doi.org/10.1016/j.ejc.2025.104248

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Edelsbrunner Group

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310 Publications

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Edelsbrunner Group

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

Alumni

310 Publications

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