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312 Publications

2026 | Published | Conference Paper | IST-REx-ID: 22002 | OA
Topological simplification guided by forbidden regions
J. Leśkiewicz, B. Furmanek, M. Lipiński, D. Morozov, in:, 42nd International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2026.
[Published Version] View | Files available | DOI | arXiv
 
2026 | Published | Conference Paper | IST-REx-ID: 22003 | OA
Lower bounding the Gromov–Hausdorff distance in metric graphs
H. Adams, S. Majhi, F. Manin, Z. Virk, N. Zava, in:, 42nd International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2026.
[Published Version] View | Files available | DOI | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20980 | OA
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 | Thesis | PhD | IST-REx-ID: 21021 | OA
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
 
earlier version | 2026 | Draft | Preprint | IST-REx-ID: 21051 | OA
Braiding vineyards
E. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Book Chapter | IST-REx-ID: 21056 | OA
Braiding Vineyards
E.W. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, in:, K. Green Larsen, B. Saha (Eds.), Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, Philadelphia, PA, United States, 2026, pp. 6240–6263.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 21115 | OA | PlanS
Persistence diagrams as morphological signatures of cells: A method to measure and compare cells within a population
Y. Bokor Bleile, P. Yadav, P. Koehl, F. Rehfeldt, PLoS Computational Biology 22 (2026).
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
2026 | Published | Journal Article | IST-REx-ID: 21232 | OA | PlanS
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 | OA
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
 
2026 | Published | Journal Article | IST-REx-ID: 21407 | OA | PlanS
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 | OA
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 | OA
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 | Published | Journal Article | IST-REx-ID: 21931 | OA
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 | Scientific Software | IST-REx-ID: 21971 | OA
Quadrix
Y. Bokor Bleile, E. Cortinovis, (2026).
View | Files available | DOI
 
2026 | Published | Journal Article | IST-REx-ID: 20456 | OA | PlanS
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
 
2025 | Published | Journal Article | IST-REx-ID: 20867 | OA | PlanS [Published Version] View | Files available | DOI | arXiv
 
2025 | Submitted | Preprint | IST-REx-ID: 21016 | OA
Identifying cobordisms using kernel persistence
Y. Bokor Bleile, L. Fajstrup, T. Heiss, A.M. Svane, S.S. Sørensen, ArXiv (n.d.).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
earlier version | 2025 | Draft | Preprint | IST-REx-ID: 21050 | OA
Counting equilibria of the electrostatic potential
H. Edelsbrunner, C.D. Fillmore, G. Olivera, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21253 | OA
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 | OA
Average and expected distortion of Voronoi paths and scapes
H. Edelsbrunner, A. Nikitenko, Discrete & Computational Geometry 73 (2025) 490–499.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 

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