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Herbert Edelsbrunner

Michal Lipinski

Yossi Bokor Bleile

Irene Pisapia

Chris Fillmore

Nicolò Zava

Morteza Saghafian

Mathijs Wintraecken

Pawel Pilarczyk

Stefan Huber

Jan Reininghaus

Paul Bendich

Florestan Brunck

Arseniy Akopyan

Ziga Virk

Farid Karimipour

Ulrich Bauer

Michael Kerber

Hana Dal Poz Kourimska

Katharina Ölsböck

Mirko Klukas

Mabel Iglesias Ham

Grzegorz Jablonski

Salman Parsa

Adam Brown

Bei Wang

Amit Patel

Hubert Wagner

Manuel Soriano Trigueros

Pach, János

Ranita Biswas

Ondrej Draganov

Adrian Ion

Florian Pausinger

Teresa Heiss

Anton Nikitenko

Chao Chen

Georg Osang

Sebastiano Cultrera di Montesano

Elizabeth Stephenson

Marek Krcál



307 Publications

2026 | Published | Journal Article | IST-REx-ID: 21115 | OA | PlanS
Persistence diagrams as morphological signatures of cells: A method to measure and compare cells within a population
Y. Bleile, P. Yadav, P. Koehl, F. Rehfeldt, PLoS Computational Biology 22 (2026).
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
2026 | Published | Journal Article | IST-REx-ID: 21232 | OA | PlanS
Towards stratified space learning: 2-complexes
Y. Bleile, La Matematica 5 (2026).
[Published Version] View | Files available | DOI | arXiv
 
2026 | Published | Conference Paper | IST-REx-ID: 21374 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 21407 | OA | PlanS
Maximum persistent Betti numbers of Čech complexes
H. Edelsbrunner, M. Kahle, S. Kanazawa, Journal of Applied and Computational Topology 10 (2026).
[Published Version] View | Files available | DOI | arXiv
 
2026 | Published | Conference Paper | IST-REx-ID: 21410 | OA
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] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
Order-2 Delaunay triangulations optimize angles
H. Edelsbrunner, A. Garber, M. Saghafian, Advances in Mathematics 461 (2025).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
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).
View | DOI | WoS
 
2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
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] View | Files available | DOI | arXiv
 
2025 | Published | Conference Paper | IST-REx-ID: 20006 | OA
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] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
Burning or collapsing the medial axis is unstable
E.W. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, La Matematica 4 (2025) 811–828.
[Published Version] View | Files available | DOI
 
2025 | Published | Journal Article | IST-REx-ID: 20293 | OA | PlanS
Tight bounds between the Jensen–Shannon divergence and the minmax divergence
A. Akopyan, H. Edelsbrunner, Z. Virk, H. Wagner, Entropy 27 (2025).
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
2025 | Published | Journal Article | IST-REx-ID: 20323 | OA | PlanS
Discrete microlocal Morse theory
A. Brown, O. Draganov, Journal of Pure and Applied Algebra 229 (2025).
[Published Version] View | Files available | DOI | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20490 | OA
Flips in two-dimensional hypertriangulations
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, M. Saghafian, European Journal of Combinatorics 132 (2025).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585
Chromatic alpha complexes
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, Foundations of Data Science 8 (2025) 30–62.
[Preprint] View | Files available | DOI | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20657 | OA | PlanS
Maximum Betti numbers of Čech complexes
H. Edelsbrunner, J. Pach, Discrete & Computational Geometry (2025).
[Published Version] View | Files available | DOI | Download Published Version (ext.) | WoS | arXiv
 
2025 | Published | Conference Paper | IST-REx-ID: 20658 | OA
The mid-sphere cousin of the medial axis transform
H. Edelsbrunner, E.R. Stephenson, M.H. Thoresen, in:, 4th International Joint Conference on Discrete Geometry and Mathematical Morphology, Springer Nature, 2025, pp. 133–147.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Conference Paper | IST-REx-ID: 20729 | OA
Additive partial matchings for persistent homology
R. Gonzalez-Diaz, M. Soriano Trigueros, A. Torras-Casas, in:, Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation, Association for Computing Machinery, 2025, pp. 188–196.
[Published Version] View | Files available | DOI
 
2025 | Published | Thesis | PhD | IST-REx-ID: 18979 | OA
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] View | Files available | DOI
 
2025 | Published | Journal Article | IST-REx-ID: 20867 | OA | PlanS
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] View | Files available | DOI | arXiv
 
2025 | Submitted | Preprint | IST-REx-ID: 21016 | OA
Identifying cobordisms using kernel persistence
Y. Bleile, L. Fajstrup, T. Heiss, A.M. Svane, S.S. Sørensen, ArXiv (n.d.).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

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