ISTA Research Explorer

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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

316 Publications

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Towards stratified space learning: 2-complexes
Y. Bokor Bleile, La Matematica 5 (2026).

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

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

Edge-constrained Hamiltonian paths on a point set
T. Antić, A. Džuklevski, J. Fiala, J. Kratochvíl, G. Liotta, M. Saghafian, M. Saumell, J. Zink, in:, 51st International Conference on Current Trends in Theory and Practice of Computer Science, Springer Nature, 2026, pp. 532–546.

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

Maximum persistent Betti numbers of Čech complexes
H. Edelsbrunner, M. Kahle, S. Kanazawa, Journal of Applied and Computational Topology 10 (2026).

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

2026 | Published | Conference Paper | IST-REx-ID: 21410 |

On the MST-ratio: Theoretical bounds and complexity of finding the maximum
A. Jabal Ameli, F. Motiei, M. Saghafian, in:, 20th International Conference and Workshops on Algorithms and Computation, Springer Nature, 2026, pp. 386–401.

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

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

Covering complete geometric graphs by monotone paths
A. Dumitrescu, J. Pach, M. Saghafian, A. Scott, Combinatorics and Number Theory 15 (2026) 73–82.

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

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

Quadrix
Y. Bokor Bleile, E. Cortinovis, (2026).

View | Files available | DOI

On the size of chromatic Delaunay mosaics
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry 75 (2026) 24–47.

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

Additive partial matchings induced by persistence maps
R. Gonzalez-Diaz, M. Soriano Trigueros, A. Torras-Casas, Journal of Symbolic Computation 138 (2026).

[Published Version] View | DOI | Download Published Version (ext.) | arXiv

2026 | Published | Conference Paper | IST-REx-ID: 22298 |

Real time interactive web GIS based modelling of high traffic air corridors in Iran using origin destination matrix analysis
M. Eghbali Mardekheh, M. Argany, F. Karimipour, S.M. Sedghitabar, in:, 8th ISPRS Geospatial Conference, Copernicus Publications, 2026, pp. 493–500.

[Published Version] View | Files available | DOI

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

Braiding geometry and topology to study shapes and data
C.D. Fillmore, Braiding Geometry and Topology to Study Shapes and Data, Institute of Science and Technology Austria, 2026.

[Published Version] View | Files available | DOI

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

Counting equilibria of the electrostatic potential
H. Edelsbrunner, C.D. Fillmore, G. Oliveira, Proceedings of the London Mathematical Society 132 (2026).

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

2026 | Published | Journal Article | IST-REx-ID: 20490 |

Flips in two-dimensional hypertriangulations
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, M. Saghafian, European Journal of Combinatorics 132 (2026).

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

Maximum Betti numbers of Čech complexes
H. Edelsbrunner, J. Pach, Discrete & Computational Geometry 75 (2026) 597–624.

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

Conley-Morse persistence barcode: A homological signature of combinatorial bifurcations
T.K. Dey, M. Lipiński, M. Soriano Trigueros, Foundations of Computational Mathematics (2026).

[Published Version] View | DOI | Download Published Version (ext.) | arXiv

2026 | Published | Journal Article | IST-REx-ID: 20585 |

Chromatic alpha complexes
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, Foundations of Data Science 8 (2026) 30–62.

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

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

Computing a connection matrix and persistence efficiently from a morse decomposition
T.K. Dey, A. Haas, M. Lipiński, SIAM Journal on Applied Dynamical Systems 25 (2026) 108–130.

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

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

The depth poset under transpositions in the filter
H. Edelsbrunner, M. Lipiński, M. Mrozek, M. Soriano Trigueros, F. Zimin, in:, 42nd International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2026.

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

Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces
N. Zava, Algebraic & Geometric Topology 25 (2025) 5153–5174.

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

2025 | Published | Journal Article | IST-REx-ID: 21253 |

Decomposition of geometric graphs into star-forests
J. Pach, M. Saghafian, P. Schnider, Computational Geometry 129 (2025).

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

2025 | Published | Journal Article | IST-REx-ID: 17149 |

Average and expected distortion of Voronoi paths and scapes
H. Edelsbrunner, A. Nikitenko, Discrete & Computational Geometry 73 (2025) 490–499.

Edelsbrunner Group

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316 Publications

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Edelsbrunner Group

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

Alumni

316 Publications

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