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307 Publications
2026 |
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Journal Article |
IST-REx-ID: 20456 |
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R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” Discrete and Computational Geometry, vol. 75. Springer Nature, pp. 24–47, 2026.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 20980 |
T. K. Dey, A. Haas, and M. Lipiński, “Computing a connection matrix and persistence efficiently from a morse decomposition,” SIAM Journal on Applied Dynamical Systems, vol. 25, no. 1. Society for Industrial & Applied Mathematics, pp. 108–130, 2026.
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2026 |
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Thesis | PhD |
IST-REx-ID: 21021 |
C. D. Fillmore, “Braiding geometry and topology to study shapes and data,” Institute of Science and Technology Austria, 2026.
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2026 |
Draft |
Preprint |
IST-REx-ID: 21051 |
E. Chambers, C. D. Fillmore, E. R. Stephenson, and M. Wintraecken, “Braiding vineyards,” arXiv. .
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| arXiv
2026 |
Published |
Book Chapter |
IST-REx-ID: 21056 |
E. W. Chambers, C. D. Fillmore, E. R. Stephenson, and M. Wintraecken, “Braiding Vineyards,” in Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms, K. Green Larsen and B. Saha, Eds. Philadelphia, PA, United States: Society for Industrial and Applied Mathematics, 2026, pp. 6240–6263.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 21115 |
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Y. Bleile, P. Yadav, P. Koehl, and F. Rehfeldt, “Persistence diagrams as morphological signatures of cells: A method to measure and compare cells within a population,” PLoS Computational Biology, vol. 22. Public Library of Science, 2026.
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| PubMed | Europe PMC
2026 |
Published |
Journal Article |
IST-REx-ID: 21232 |
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Y. Bleile, “Towards stratified space learning: 2-complexes,” La Matematica, vol. 5. Springer Nature, 2026.
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| arXiv
2026 |
Published |
Conference Paper |
IST-REx-ID: 21374 |
T. Antić et al., “Edge-constrained Hamiltonian paths on a point set,” in 51st International Conference on Current Trends in Theory and Practice of Computer Science, Krakow, Poland, 2026, vol. 16448, pp. 532–546.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 21407 |
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H. Edelsbrunner, M. Kahle, and S. Kanazawa, “Maximum persistent Betti numbers of Čech complexes,” Journal of Applied and Computational Topology, vol. 10. Springer Nature, 2026.
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| arXiv
2026 |
Published |
Conference Paper |
IST-REx-ID: 21410 |
A. Jabal Ameli, F. Motiei, and M. Saghafian, “On the MST-ratio: Theoretical bounds and complexity of finding the maximum,” in 20th International Conference and Workshops on Algorithms and Computation, Perugia, Italy, 2026, vol. 16444, pp. 386–401.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 18626 |
H. Edelsbrunner, A. Garber, and M. Saghafian, “Order-2 Delaunay triangulations optimize angles,” Advances in Mathematics, vol. 461. Elsevier, 2025.
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| arXiv
2025 |
Published |
Conference Paper |
IST-REx-ID: 20005 |
H. Edelsbrunner, A. Garber, and M. Saghafian, “On spheres with k points inside,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
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| arXiv
2025 |
Published |
Conference Paper |
IST-REx-ID: 20006 |
L. Ost, S. Cultrera di Montesano, and H. Edelsbrunner, “Banana trees for the persistence in time series experimentally,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 20260 |
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E. W. Chambers, C. D. Fillmore, E. R. Stephenson, and M. Wintraecken, “Burning or collapsing the medial axis is unstable,” La Matematica, vol. 4. Springer Nature, pp. 811–828, 2025.
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2025 |
Published |
Journal Article |
IST-REx-ID: 20293 |
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A. Akopyan, H. Edelsbrunner, Z. Virk, and H. Wagner, “Tight bounds between the Jensen–Shannon divergence and the minmax divergence,” Entropy, vol. 27, no. 8. MDPI, 2025.
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| PubMed | Europe PMC
2025 |
Published |
Journal Article |
IST-REx-ID: 20323 |
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A. Brown and O. Draganov, “Discrete microlocal Morse theory,” Journal of Pure and Applied Algebra, vol. 229, no. 10. Elsevier, 2025.
[Published Version]
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20490 |
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “Flips in two-dimensional hypertriangulations,” European Journal of Combinatorics, vol. 132. Elsevier, 2025.
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20585
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” Foundations of Data Science, vol. 8. American Institute of Mathematical Sciences, pp. 30–62, 2025.
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20657 |
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H. Edelsbrunner and J. Pach, “Maximum Betti numbers of Čech complexes,” Discrete & Computational Geometry. Springer Nature, 2025.
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