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312 Publications

2026 | Published | Conference Paper | IST-REx-ID: 22002 |

Leśkiewicz, J., Furmanek, B., Lipiński, M., & Morozov, D. (2026). Topological simplification guided by forbidden regions. In 42nd International Symposium on Computational Geometry (Vol. 367). New Brunswick, NJ, United States: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2026.72

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

2026 | Published | Conference Paper | IST-REx-ID: 22003 |

Adams, H., Majhi, S., Manin, F., Virk, Z., & Zava, N. (2026). Lower bounding the Gromov–Hausdorff distance in metric graphs. In 42nd International Symposium on Computational Geometry (Vol. 367). New Brunswick, NJ, United States: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2026.3

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

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 | 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

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 | 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

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

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

[Preprint] View | 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

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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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

Zava, N. (2025). Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces. Algebraic & Geometric Topology. Mathematical Sciences Publishers. https://doi.org/10.2140/agt.2025.25.5153

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

2025 | Submitted | Preprint | IST-REx-ID: 21016 |

Bokor Bleile, Y., Fajstrup, L., Heiss, T., Svane, A. M., & Sørensen, S. S. (n.d.). Identifying cobordisms using kernel persistence. arXiv. https://doi.org/10.48550/arXiv.2505.17858

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

Edelsbrunner, H., Fillmore, C. D., & Olivera, G. (n.d.). Counting equilibria of the electrostatic potential. arXiv. https://doi.org/10.48550/ARXIV.2501.05315

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

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

Pach, J., Saghafian, M., & Schnider, P. (2025). Decomposition of geometric graphs into star-forests. Computational Geometry. Elsevier. https://doi.org/10.1016/j.comgeo.2025.102186

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

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

Edelsbrunner, H., & Nikitenko, A. (2025). Average and expected distortion of Voronoi paths and scapes. Discrete & Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-024-00660-y

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