Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
299 Publications
2026 | Published | Journal Article | IST-REx-ID: 20456 | 
| 
|
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 | 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
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
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2025 | Published | Journal Article | IST-REx-ID: 17149 |
Edelsbrunner, H., & Nikitenko, A. (2025). Average and expected distortion of Voronoi paths and scapes. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-024-00660-y
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2025 | Published | Thesis | IST-REx-ID: 18979 |
Draganov, O. (2025). Structures and computations in topological data analysis. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:18979
[Published Version]
View
| Files available
| DOI
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 | Journal Article | IST-REx-ID: 20293 |
|
|
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
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585
Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2025). Chromatic alpha complexes. Foundations of Data Science. American Institute of Mathematical Sciences. https://doi.org/10.3934/fods.2025003
[Preprint]
View
| Files available
| DOI
| arXiv
2025 | Published | Conference Paper | IST-REx-ID: 20658 |
Edelsbrunner, H., Stephenson, E. R., & Thoresen, M. H. (2025). The mid-sphere cousin of the medial axis transform. In 4th International Joint Conference on Discrete Geometry and Mathematical Morphology (Vol. 16296, pp. 133–147). Groningen, The Netherlands: Springer Nature. https://doi.org/10.1007/978-3-032-09544-2_10
[Preprint]
View
| DOI
| Download Preprint (ext.)
| 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
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20657 |
|
|
Edelsbrunner, H., & Pach, J. (2025). Maximum Betti numbers of Čech complexes. Discrete & Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-025-00796-5
[Published Version]
View
| Files available
| DOI
| Download Published Version (ext.)
| WoS
| arXiv
2025 | Published | Conference Paper | IST-REx-ID: 20729 |
Gonzalez-Diaz, R., Soriano Trigueros, M., & Torras-Casas, A. (2025). Additive partial matchings for persistent homology. In Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation (pp. 188–196). Guanajuato, Mexico: Association for Computing Machinery. https://doi.org/10.1145/3747199.3747561
[Published Version]
View
| Files available
| DOI
2025 | Published | Journal Article | IST-REx-ID: 20323 |
|
|
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 | 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
View
| DOI
| WoS
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
2025 | Published | Journal Article | IST-REx-ID: 20867 |
|
|
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 |
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
2025 | Published | Journal Article | IST-REx-ID: 20260 |
|
|
Chambers, E. W., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2025). Burning or collapsing the medial axis is unstable. La Matematica. Springer Nature. https://doi.org/10.1007/s44007-025-00170-0
[Published Version]
View
| Files available
| DOI
2025 | Draft | Preprint | IST-REx-ID: 21050 |
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