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Chris Fillmore

Michal Lipinski

Yossi Bokor Bleile

Nicolò Zava

Irene Pisapia

Herbert Edelsbrunner

Hana Dal Poz Kourimska

Michael Kerber

Pawel Pilarczyk

Mabel Iglesias Ham

Mirko Klukas

Bei Wang

Stefan Huber

Teresa Heiss

Chao Chen

Pach, János

Katharina Ölsböck

Elizabeth Stephenson

Jan Reininghaus

Adrian Ion

Marek Krcál

Salman Parsa

Anton Nikitenko

Sebastiano Cultrera di Montesano

Paul Bendich

Mathijs Wintraecken

Adam Brown

Manuel Soriano Trigueros

Hubert Wagner

Ondrej Draganov

Florestan Brunck

Farid Karimipour

Grzegorz Jablonski

Arseniy Akopyan

Georg Osang

Amit Patel

Ranita Biswas

Florian Pausinger

Morteza Saghafian

Ziga Virk

Ulrich Bauer



307 Publications

2026 | Published | Journal Article | IST-REx-ID: 20456 | OA | PlanS
On the size of chromatic Delaunay mosaics
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry 75 (2026) 24–47.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20980 | OA
Computing a connection matrix and persistence efficiently from a morse decomposition
T.K. Dey, A. Haas, M. Lipiński, SIAM Journal on Applied Dynamical Systems 25 (2026) 108–130.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Thesis | PhD | IST-REx-ID: 21021 | OA
Braiding geometry and topology to study shapes and data
C.D. Fillmore, Braiding Geometry and Topology to Study Shapes and Data, Institute of Science and Technology Austria, 2026.
[Published Version] View | Files available | DOI
 
2026 | Draft | Preprint | IST-REx-ID: 21051 | OA
Braiding vineyards
E. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Book Chapter | IST-REx-ID: 21056 | OA
Braiding Vineyards
E.W. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, in:, K. Green Larsen, B. Saha (Eds.), Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, Philadelphia, PA, United States, 2026, pp. 6240–6263.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
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
 

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