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316 Publications


2026 | Published | Journal Article | IST-REx-ID: 20980 | OA
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. SIAM, pp. 108–130, 2026.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2026 | Published | Conference Paper | IST-REx-ID: 22299 | OA
H. Edelsbrunner, M. Lipiński, M. Mrozek, M. Soriano Trigueros, and F. Zimin, “The depth poset under transpositions in the filter,” in 42nd International Symposium on Computational Geometry, New Brunswick, NJ, United States, 2026, vol. 367.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 20867 | OA | PlanS
N. Zava, “Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces,” Algebraic & Geometric Topology, vol. 25, no. 8. Mathematical Sciences Publishers, pp. 5153–5174, 2025.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 21253 | OA
J. Pach, M. Saghafian, and P. Schnider, “Decomposition of geometric graphs into star-forests,” Computational Geometry, vol. 129. Elsevier, 2025.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 17149 | OA
H. Edelsbrunner and A. Nikitenko, “Average and expected distortion of Voronoi paths and scapes,” Discrete & Computational Geometry, vol. 73. Springer Nature, pp. 490–499, 2025.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 

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

2025 | Published | Thesis | PhD | IST-REx-ID: 18979 | OA
O. Draganov, “Structures and computations in topological data analysis,” Institute of Science and Technology Austria, 2025.
[Published Version] View | Files available | DOI
 

2025 | Published | Journal Article | IST-REx-ID: 19937
M. Mahini, H. Beigy, S. Qadami, and M. Saghafian, “Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality,” Information Sciences, vol. 719, no. 11. Elsevier, 2025.
View | DOI | WoS
 

2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
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.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Conference Paper | IST-REx-ID: 20006 | OA
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.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
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.
[Published Version] View | Files available | DOI
 

2025 | Published | Journal Article | IST-REx-ID: 20293 | OA | PlanS
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.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

2025 | Published | Journal Article | IST-REx-ID: 20323 | OA | PlanS
A. Brown and O. Draganov, “Discrete microlocal Morse theory,” Journal of Pure and Applied Algebra, vol. 229, no. 10. Elsevier, 2025.
[Published Version] View | Files available | DOI | arXiv
 

2025 | Published | Conference Paper | IST-REx-ID: 20658 | OA
H. Edelsbrunner, E. R. Stephenson, and M. H. Thoresen, “The mid-sphere cousin of the medial axis transform,” in 4th International Joint Conference on Discrete Geometry and Mathematical Morphology, Groningen, The Netherlands, 2025, vol. 16296, pp. 133–147.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2025 | Published | Conference Paper | IST-REx-ID: 20729 | OA
R. Gonzalez-Diaz, M. Soriano Trigueros, and A. Torras-Casas, “Additive partial matchings for persistent homology,” in Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation, Guanajuato, Mexico, 2025, pp. 188–196.
[Published Version] View | Files available | DOI
 

2025 | Submitted | Preprint | IST-REx-ID: 21016 | OA
Y. Bokor Bleile, L. Fajstrup, T. Heiss, A. M. Svane, and S. S. Sørensen, “Identifying cobordisms using kernel persistence,” arXiv. .
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

earlier version | 2025 | Draft | Preprint | IST-REx-ID: 21050 | OA
H. Edelsbrunner, C. D. Fillmore, and G. Olivera, “Counting equilibria of the electrostatic potential,” arXiv. .
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 14345 | OA
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “On angles in higher order Brillouin tessellations and related tilings in the plane,” Discrete and Computational Geometry, vol. 72. Springer Nature, pp. 29–48, 2024.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 

2024 | Published | Conference Paper | IST-REx-ID: 14888 | OA
P. De Nooijer et al., “Removing popular faces in curve arrangements,” in 31st International Symposium on Graph Drawing and Network Visualization, Isola delle Femmine, Palermo, Italy, 2024, vol. 14466, pp. 18–33.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

earlier version | 2024 | Published | Conference Paper | IST-REx-ID: 15012 | OA
J. Pach, M. Saghafian, and P. Schnider, “Decomposition of geometric graphs into star-forests,” in 31st International Symposium on Graph Drawing and Network Visualization, Isola delle Femmine, Palermo, Italy, 2024, vol. 14465, pp. 339–346.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 

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