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Chris Fillmore

Irene Pisapia

Herbert Edelsbrunner

Nicolò Zava

Michal Lipinski

Yossi Bokor Bleile

Elizabeth Stephenson

Ondrej Draganov

Arseniy Akopyan

Pach, János

Grzegorz Jablonski

Pawel Pilarczyk

Hana Dal Poz Kourimska

Farid Karimipour

Anton Nikitenko

Ranita Biswas

Stefan Huber

Florestan Brunck

Florian Pausinger

Sebastiano Cultrera di Montesano

Jan Reininghaus

Teresa Heiss

Ziga Virk

Adam Brown

Marek Krcál

Ulrich Bauer

Katharina Ölsböck

Mathijs Wintraecken

Hubert Wagner

Salman Parsa

Michael Kerber

Mabel Iglesias Ham

Paul Bendich

Chao Chen

Adrian Ion

Manuel Soriano Trigueros

Mirko Klukas

Georg Osang

Amit Patel

Bei Wang

Morteza Saghafian



307 Publications

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
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
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 | Journal Article | IST-REx-ID: 20323 | OA | PlanS
Brown, A., & Draganov, O. (2025). Discrete microlocal Morse theory. Journal of Pure and Applied Algebra. Elsevier. https://doi.org/10.1016/j.jpaa.2025.108068
[Published Version] View | Files available | DOI | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20490 | OA
Edelsbrunner, H., Garber, A., Ghafari, M., Heiss, T., & Saghafian, M. (2025). 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
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585
Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2025). Chromatic alpha complexes. Foundations of Data Science. American Institute of Mathematical Sciences. https://doi.org/10.3934/fods.2025003
[Preprint] View | Files available | DOI | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20657 | OA | PlanS
Edelsbrunner, H., & Pach, J. (2025). 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 | Download Published Version (ext.) | WoS | arXiv
 
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 | Published | Thesis | PhD | IST-REx-ID: 18979 | OA
Draganov, O. (2025). Structures and computations in topological data analysis. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:18979
[Published Version] View | Files available | DOI
 
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 | Submitted | Preprint | IST-REx-ID: 21016 | OA
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
 
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: 21253 | OA
Pach, J., Saghafian, M., & Schnider, P. (2025). Decomposition of geometric graphs into star-forests. Computational Geometry. Elsevier. https://doi.org/10.1016/j.comgeo.2025.102186
[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
 
2024 | Published | Journal Article | IST-REx-ID: 14345 | OA
Edelsbrunner, H., Garber, A., Ghafari, M., Heiss, T., & Saghafian, M. (2024). On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-023-00566-1
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
2024 | Published | Journal Article | IST-REx-ID: 17891 | OA
Edelsbrunner, H., Ölsböck, K., & Wagner, H. (2024). Understanding higher-order interactions in information space. Entropy. MDPI. https://doi.org/10.3390/e26080637
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

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