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317 Publications

2026 | Published | Journal Article | IST-REx-ID: 21931 | OA
Edelsbrunner, H., Fillmore, C. D., & Oliveira, G. (2026). Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.70163
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20490 | OA
Edelsbrunner, H., Garber, A., Ghafari, M., Heiss, T., & Saghafian, M. (2026). Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. Elsevier. https://doi.org/10.1016/j.ejc.2025.104248
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 22648 | OA | PlanS
Dey, T. K., Lipiński, M., & Soriano Trigueros, M. (2026). Conley-Morse persistence barcode: A homological signature of combinatorial bifurcations. Foundations of Computational Mathematics. Springer. https://doi.org/10.1007/s10208-026-09766-6
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20980 | OA
Dey, T. K., Haas, A., & Lipiński, M. (2026). Computing a connection matrix and persistence efficiently from a morse decomposition. SIAM Journal on Applied Dynamical Systems. SIAM. https://doi.org/10.1137/25m1739406
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Conference Paper | IST-REx-ID: 22299 | OA
Edelsbrunner, H., Lipiński, M., Mrozek, M., Soriano Trigueros, M., & Zimin, F. (2026). The depth poset under transpositions in the filter. In 42nd International Symposium on Computational Geometry (Vol. 367). New Brunswick, NJ, United States: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.SOCG.2026.41
[Published Version] View | Files available | DOI | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20657 | OA | PlanS
Edelsbrunner, H., & Pach, J. (2026). Maximum Betti numbers of Čech complexes. Discrete & Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-025-00796-5
[Published Version] View | Files available | DOI | WoS | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20585 | OA
Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2026). Chromatic alpha complexes. Foundations of Data Science. AIMS. https://doi.org/10.3934/fods.2025003
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 23087 | OA | PlanS
Pegoraro, M., Christensen, R., Sørensen, S. S., Lindbjerg, A. R., Du, T., Bokor Bleile, Y., … Smedskjaer, M. M. (2026). Predicting ionic conductivity of sulfide glass solid-state electrolytes using max-flow methodology. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-026-77363-w
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
2025 | Published | Journal Article | IST-REx-ID: 20867 | OA | PlanS
Zava, N. (2025). Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces. Algebraic & Geometric Topology. Mathematical Sciences Publishers. https://doi.org/10.2140/agt.2025.25.5153
[Published Version] View | Files available | DOI | 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. Elsevier. https://doi.org/10.1016/j.aim.2024.110055
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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. Elsevier. https://doi.org/10.1016/j.ins.2025.122425
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. In 41st International Symposium on Computational Geometry (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2025.43
[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. In 41st International Symposium on Computational Geometry (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2025.71
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
Chambers, E. W., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2025). Burning or collapsing the medial axis is unstable. La Matematica. Springer Nature. https://doi.org/10.1007/s44007-025-00170-0
[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. MDPI. https://doi.org/10.3390/e27080854
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
2025 | Published | Conference Paper | IST-REx-ID: 20658 | OA
Edelsbrunner, H., Stephenson, E. R., & Thoresen, M. H. (2025). The mid-sphere cousin of the medial axis transform. In 4th International Joint Conference on Discrete Geometry and Mathematical Morphology (Vol. 16296, pp. 133–147). Groningen, The Netherlands: Springer Nature. https://doi.org/10.1007/978-3-032-09544-2_10
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Conference Paper | IST-REx-ID: 20729 | OA
Gonzalez-Diaz, R., Soriano Trigueros, M., & Torras-Casas, A. (2025). Additive partial matchings for persistent homology. In Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation (pp. 188–196). Guanajuato, Mexico: Association for Computing Machinery. https://doi.org/10.1145/3747199.3747561
[Published Version] View | Files available | DOI
 
2025 | Submitted | Preprint | IST-REx-ID: 21016 | OA
Bokor Bleile, Y., Fajstrup, L., Heiss, T., Svane, A. M., & Sørensen, S. S. (n.d.). Identifying cobordisms using kernel persistence. arXiv. https://doi.org/10.48550/arXiv.2505.17858
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
earlier version | 2025 | Draft | Preprint | IST-REx-ID: 21050 | OA
Edelsbrunner, H., Fillmore, C. D., & Olivera, G. (n.d.). Counting equilibria of the electrostatic potential. arXiv. https://doi.org/10.48550/ARXIV.2501.05315
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 17149 | OA
Edelsbrunner, H., & Nikitenko, A. (2025). Average and expected distortion of Voronoi paths and scapes. Discrete & Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-024-00660-y
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 

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