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Herbert Edelsbrunner

Yossi Bokor Bleile

Michal Lipinski

Irene Pisapia

Fedor Zimin

Arseniy Akopyan

Ulrich Bauer

Paul Bendich

Ranita Biswas

Adam Brown

Florestan Brunck

Chao Chen

Sebastiano Cultrera di Montesano

Ondrej Draganov

Chris Fillmore

Teresa Heiss

Stefan Huber

Mabel Iglesias Ham

Adrian Ion

Grzegorz Jablonski

Farid Karimipour

Michael Kerber

Mirko Klukas

Hana Dal Poz Kourimska

Marek Krcál

Anton Nikitenko

Katharina Ölsböck

Georg Osang

Salman Parsa

Amit Patel

Florian Pausinger

Pawel Pilarczyk

Jan Reininghaus

Morteza Saghafian

Manuel Soriano Trigueros

Elizabeth Stephenson

Ziga Virk

Hubert Wagner

Bei Wang

Mathijs Wintraecken

Nicolò Zava

Pach, János

317 Publications

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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.

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

2026 | Published | 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, 2026. https://doi.org/10.1016/j.ejc.2025.104248.

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

Dey, Tamal K., Michał Lipiński, and Manuel Soriano Trigueros. “Conley-Morse Persistence Barcode: A Homological Signature of Combinatorial Bifurcations.” Foundations of Computational Mathematics. Springer, 2026. https://doi.org/10.1007/s10208-026-09766-6.

[Published Version] View | DOI | Download Published Version (ext.) | 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. SIAM, 2026. https://doi.org/10.1137/25m1739406.

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

2026 | Published | Conference Paper | IST-REx-ID: 22299 |

Edelsbrunner, Herbert, Michał Lipiński, Marian Mrozek, Manuel Soriano Trigueros, and Fedor Zimin. “The Depth Poset under Transpositions in the Filter.” In 42nd International Symposium on Computational Geometry, Vol. 367. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2026. https://doi.org/10.4230/LIPICS.SOCG.2026.41.

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

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.

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

2026 | Published | 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.

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

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.

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

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.

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

2025 | Published | 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.

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

[Published Version] View | Files available | DOI

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.

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

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.

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

Edelsbrunner Group

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317 Publications

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Edelsbrunner Group

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Alumni

317 Publications

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