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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. 2026. On the size of chromatic Delaunay mosaics. Discrete and Computational Geometry. 75, 24–47.
[Published Version] View | Files available | DOI | WoS | arXiv
 

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

2026 | Published | Thesis | PhD | IST-REx-ID: 21021 | OA
Fillmore CD. 2026. Braiding geometry and topology to study shapes and data. Institute of Science and Technology Austria.
[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, 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. 2026.Braiding Vineyards. In: Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms. , 6240–6263.
[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. 2026. Persistence diagrams as morphological signatures of cells: A method to measure and compare cells within a population. PLoS Computational Biology. 22, e1013890.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 

2026 | Published | Journal Article | IST-REx-ID: 21232 | OA | PlanS
Bleile Y. 2026. Towards stratified space learning: 2-complexes. La Matematica. 5, 17.
[Published Version] View | Files available | DOI | arXiv
 

2026 | Published | Conference Paper | IST-REx-ID: 21374 | OA
Antić T, Džuklevski A, Fiala J, Kratochvíl J, Liotta G, Saghafian M, Saumell M, Zink J. 2026. Edge-constrained Hamiltonian paths on a point set. 51st International Conference on Current Trends in Theory and Practice of Computer Science. SOFSEM: Conference on Current Trends in Theory and Practice of Computer Science, LNCS, vol. 16448, 532–546.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Journal Article | IST-REx-ID: 21407 | OA | PlanS
Edelsbrunner H, Kahle M, Kanazawa S. 2026. Maximum persistent Betti numbers of Čech complexes. Journal of Applied and Computational Topology. 10, 5.
[Published Version] View | Files available | DOI | arXiv
 

2026 | Published | Conference Paper | IST-REx-ID: 21410 | OA
Jabal Ameli A, Motiei F, Saghafian M. 2026. On the MST-ratio: Theoretical bounds and complexity of finding the maximum. 20th International Conference and Workshops on Algorithms and Computation. WALCOM: International Conference and Workshops on Algorithms and Computation, LNCS, vol. 16444, 386–401.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
Edelsbrunner H, Garber A, Saghafian M. 2025. Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. 461, 110055.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | 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. 719(11), 122425.
View | DOI | WoS
 

2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
Edelsbrunner H, Garber A, Saghafian M. 2025. On spheres with k points inside. 41st International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 332, 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. 2025. Banana trees for the persistence in time series experimentally. 41st International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 332, 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. 2025. Burning or collapsing the medial axis is unstable. La Matematica. 4, 811–828.
[Published Version] View | Files available | DOI
 

2025 | Published | Journal Article | IST-REx-ID: 20293 | OA | PlanS
Akopyan A, Edelsbrunner H, Virk Z, Wagner H. 2025. Tight bounds between the Jensen–Shannon divergence and the minmax divergence. Entropy. 27(8), 854.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

2025 | Published | Journal Article | IST-REx-ID: 20323 | OA | PlanS
Brown A, Draganov O. 2025. Discrete microlocal Morse theory. Journal of Pure and Applied Algebra. 229(10), 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. 2025. Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. 132, 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. 2025. Chromatic alpha complexes. Foundations of Data Science. 8, 30–62.
[Preprint] View | Files available | DOI | arXiv
 

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

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