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312 Publications
2026 |
Published |
Book Chapter |
IST-REx-ID: 21056 |
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]
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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.
2026 |
Published |
Journal Article |
IST-REx-ID: 21115 |
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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).
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Y. Bokor Bleile, P. Yadav, P. Koehl, F. Rehfeldt, PLoS Computational Biology 22 (2026).
2026 |
Published |
Journal Article |
IST-REx-ID: 21232 |
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Towards stratified space learning: 2-complexes
Y. Bokor Bleile, La Matematica 5 (2026).
[Published Version]
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| arXiv
Y. Bokor Bleile, La Matematica 5 (2026).
2026 |
Published |
Conference Paper |
IST-REx-ID: 21374 |
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.
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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.
2026 |
Published |
Journal Article |
IST-REx-ID: 21407 |
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Maximum persistent Betti numbers of Čech complexes
H. Edelsbrunner, M. Kahle, S. Kanazawa, Journal of Applied and Computational Topology 10 (2026).
[Published Version]
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H. Edelsbrunner, M. Kahle, S. Kanazawa, Journal of Applied and Computational Topology 10 (2026).
2026 |
Published |
Conference Paper |
IST-REx-ID: 21410 |
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]
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A. Jabal Ameli, F. Motiei, M. Saghafian, in:, 20th International Conference and Workshops on Algorithms and Computation, Springer Nature, 2026, pp. 386–401.
2026 |
Published |
Journal Article |
IST-REx-ID: 21781 |
Covering complete geometric graphs by monotone paths
A. Dumitrescu, J. Pach, M. Saghafian, A. Scott, Combinatorics and Number Theory 15 (2026) 73–82.
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A. Dumitrescu, J. Pach, M. Saghafian, A. Scott, Combinatorics and Number Theory 15 (2026) 73–82.
2026 |
Published |
Journal Article |
IST-REx-ID: 21931 |
Counting equilibria of the electrostatic potential
H. Edelsbrunner, C.D. Fillmore, G. Oliveira, Proceedings of the London Mathematical Society 132 (2026).
[Preprint]
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H. Edelsbrunner, C.D. Fillmore, G. Oliveira, Proceedings of the London Mathematical Society 132 (2026).
2026 |
Scientific Software |
IST-REx-ID: 21971 |
Quadrix
Y. Bokor Bleile, E. Cortinovis, (2026).
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Y. Bokor Bleile, E. Cortinovis, (2026).
2026 |
Published |
Journal Article |
IST-REx-ID: 20456 |
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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]
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R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry 75 (2026) 24–47.
2025 |
Published |
Journal Article |
IST-REx-ID: 20867 |
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Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces
N. Zava, Algebraic & Geometric Topology 25 (2025) 5153–5174.
[Published Version]
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| DOI
| arXiv
N. Zava, Algebraic & Geometric Topology 25 (2025) 5153–5174.
2025 |
Submitted |
Preprint |
IST-REx-ID: 21016 |
Identifying cobordisms using kernel persistence
Y. Bokor Bleile, L. Fajstrup, T. Heiss, A.M. Svane, S.S. Sørensen, ArXiv (n.d.).
[Preprint]
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Y. Bokor Bleile, L. Fajstrup, T. Heiss, A.M. Svane, S.S. Sørensen, ArXiv (n.d.).
earlier version | 2025 |
Draft |
Preprint |
IST-REx-ID: 21050 |
Counting equilibria of the electrostatic potential
H. Edelsbrunner, C.D. Fillmore, G. Olivera, ArXiv (n.d.).
[Preprint]
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H. Edelsbrunner, C.D. Fillmore, G. Olivera, ArXiv (n.d.).
2025 |
Published |
Journal Article |
IST-REx-ID: 21253 |
Decomposition of geometric graphs into star-forests
J. Pach, M. Saghafian, P. Schnider, Computational Geometry 129 (2025).
[Preprint]
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J. Pach, M. Saghafian, P. Schnider, Computational Geometry 129 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 17149 |
Average and expected distortion of Voronoi paths and scapes
H. Edelsbrunner, A. Nikitenko, Discrete & Computational Geometry 73 (2025) 490–499.
[Published Version]
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| PubMed | Europe PMC
| arXiv
H. Edelsbrunner, A. Nikitenko, Discrete & Computational Geometry 73 (2025) 490–499.
2025 |
Published |
Journal Article |
IST-REx-ID: 18626 |
Order-2 Delaunay triangulations optimize angles
H. Edelsbrunner, A. Garber, M. Saghafian, Advances in Mathematics 461 (2025).
[Preprint]
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H. Edelsbrunner, A. Garber, M. Saghafian, Advances in Mathematics 461 (2025).
2025 |
Published |
Thesis | PhD |
IST-REx-ID: 18979 |
Structures and computations in topological data analysis
O. Draganov, Structures and Computations in Topological Data Analysis, Institute of Science and Technology Austria, 2025.
[Published Version]
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O. Draganov, Structures and Computations in Topological Data Analysis, Institute of Science and Technology Austria, 2025.
2025 |
Published |
Journal Article |
IST-REx-ID: 19937
Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality
M. Mahini, H. Beigy, S. Qadami, M. Saghafian, Information Sciences 719 (2025).
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M. Mahini, H. Beigy, S. Qadami, M. Saghafian, Information Sciences 719 (2025).
2025 |
Published |
Conference Paper |
IST-REx-ID: 20005 |
On spheres with k points inside
H. Edelsbrunner, A. Garber, M. Saghafian, in:, 41st International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025.
[Published Version]
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H. Edelsbrunner, A. Garber, M. Saghafian, in:, 41st International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025.
2025 |
Published |
Conference Paper |
IST-REx-ID: 20006 |
Banana trees for the persistence in time series experimentally
L. Ost, S. Cultrera di Montesano, H. Edelsbrunner, in:, 41st International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025.
[Published Version]
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L. Ost, S. Cultrera di Montesano, H. Edelsbrunner, in:, 41st International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025.