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307 Publications


2026 | Published | Journal Article | IST-REx-ID: 20456 | OA | PlanS
Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. Discrete and Computational Geometry. 2026;75:24-47. doi:10.1007/s00454-025-00778-7
[Published Version] View | Files available | DOI | WoS | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 20980 | OA
Dey TK, Haas A, Lipiński M. Computing a connection matrix and persistence efficiently from a morse decomposition. SIAM Journal on Applied Dynamical Systems. 2026;25(1):108-130. doi:10.1137/25m1739406
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Thesis | PhD | IST-REx-ID: 21021 | OA
Fillmore CD. Braiding geometry and topology to study shapes and data. 2026. doi:10.15479/AT-ISTA-21021
[Published Version] View | Files available | DOI
 

2026 | Draft | Preprint | IST-REx-ID: 21051 | OA
Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. Braiding vineyards. arXiv. doi:10.48550/ARXIV.2504.11203
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Book Chapter | IST-REx-ID: 21056 | OA
Chambers EW, Fillmore CD, Stephenson ER, Wintraecken M. Braiding Vineyards. In: Green Larsen K, Saha B, eds. Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms. Philadelphia, PA, United States: Society for Industrial and Applied Mathematics; 2026:6240-6263. doi:10.1137/1.9781611978971.225
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 21115 | OA | PlanS
Bleile Y, Yadav P, Koehl P, Rehfeldt F. Persistence diagrams as morphological signatures of cells: A method to measure and compare cells within a population. PLoS Computational Biology. 2026;22. doi:10.1371/journal.pcbi.1013890
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 

2026 | Published | Journal Article | IST-REx-ID: 21232 | OA | PlanS
Bleile Y. Towards stratified space learning: 2-complexes. La Matematica. 2026;5. doi:10.1007/s44007-025-00183-9
[Published Version] View | Files available | DOI | arXiv
 

2026 | Published | Conference Paper | IST-REx-ID: 21374 | OA
Antić T, Džuklevski A, Fiala J, et al. Edge-constrained Hamiltonian paths on a point set. In: 51st International Conference on Current Trends in Theory and Practice of Computer Science. Vol 16448. Springer Nature; 2026:532-546. doi:10.1007/978-3-032-17801-5_39
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 21407 | OA | PlanS
Edelsbrunner H, Kahle M, Kanazawa S. Maximum persistent Betti numbers of Čech complexes. Journal of Applied and Computational Topology. 2026;10. doi:10.1007/s41468-026-00233-3
[Published Version] View | Files available | DOI | arXiv
 

2026 | Published | Conference Paper | IST-REx-ID: 21410 | OA
Jabal Ameli A, Motiei F, Saghafian M. On the MST-ratio: Theoretical bounds and complexity of finding the maximum. In: 20th International Conference and Workshops on Algorithms and Computation. Vol 16444. Springer Nature; 2026:386-401. doi:10.1007/978-981-95-7127-7_26
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
Edelsbrunner H, Garber A, Saghafian M. Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. 2025;461. doi: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. Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality. Information Sciences. 2025;719(11). doi:10.1016/j.ins.2025.122425
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2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
Edelsbrunner H, Garber A, Saghafian M. On spheres with k points inside. In: 41st International Symposium on Computational Geometry. Vol 332. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2025. doi:10.4230/LIPIcs.SoCG.2025.43
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Conference Paper | IST-REx-ID: 20006 | OA
Ost L, Cultrera di Montesano S, Edelsbrunner H. 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. doi:10.4230/LIPIcs.SoCG.2025.71
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
Chambers EW, Fillmore CD, Stephenson ER, Wintraecken M. Burning or collapsing the medial axis is unstable. La Matematica. 2025;4:811-828. doi:10.1007/s44007-025-00170-0
[Published Version] View | Files available | DOI
 

2025 | Published | Journal Article | IST-REx-ID: 20293 | OA | PlanS
Akopyan A, Edelsbrunner H, Virk Z, Wagner H. Tight bounds between the Jensen–Shannon divergence and the minmax divergence. Entropy. 2025;27(8). doi:10.3390/e27080854
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

2025 | Published | Journal Article | IST-REx-ID: 20323 | OA | PlanS
Brown A, Draganov O. Discrete microlocal Morse theory. Journal of Pure and Applied Algebra. 2025;229(10). doi:10.1016/j.jpaa.2025.108068
[Published Version] View | Files available | DOI | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20490 | OA
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. 2025;132. doi:10.1016/j.ejc.2025.104248
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. Foundations of Data Science. 2025;8:30-62. doi:10.3934/fods.2025003
[Preprint] View | Files available | DOI | arXiv
 

2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20657 | OA | PlanS
Edelsbrunner H, Pach J. Maximum Betti numbers of Čech complexes. Discrete & Computational Geometry. 2025. doi:10.1007/s00454-025-00796-5
[Published Version] View | Files available | DOI | Download Published Version (ext.) | WoS | arXiv
 

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