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Irene Pisapia

Herbert Edelsbrunner

Michal Lipinski

Nicolò Zava

Chris Fillmore

Yossi Bokor Bleile

Elizabeth Stephenson

Pawel Pilarczyk

Morteza Saghafian

Manuel Soriano Trigueros

Grzegorz Jablonski

Pach, János

Bei Wang

Ulrich Bauer

Anton Nikitenko

Ondrej Draganov

Chao Chen

Marek Krcál

Farid Karimipour

Hana Dal Poz Kourimska

Paul Bendich

Stefan Huber

Mathijs Wintraecken

Adam Brown

Katharina Ölsböck

Mabel Iglesias Ham

Ranita Biswas

Amit Patel

Teresa Heiss

Jan Reininghaus

Salman Parsa

Florestan Brunck

Florian Pausinger

Michael Kerber

Adrian Ion

Ziga Virk

Georg Osang

Sebastiano Cultrera di Montesano

Arseniy Akopyan

Hubert Wagner

Mirko Klukas



290 Publications

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: 17149 | OA
Average and expected distortion of Voronoi paths and scapes
H. Edelsbrunner, A. Nikitenko, Discrete and Computational Geometry 73 (2025) 490–499.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
2025 | Published | Thesis | 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 | 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 | 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 | Epub ahead of print | 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 (2025).
[Published Version] View | DOI | Download Published Version (ext.)
 
2025 | Epub ahead of print | 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 | Download Published Version (ext.) | arXiv
 
2025 | Epub ahead of print | 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 | 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 | Epub ahead of print | 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 (2025).
[Published Version] View | Files available | DOI | Download Published Version (ext.) | 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.) | arXiv
 
2024 | Published | Conference Paper | IST-REx-ID: 17145 | OA
Grid peeling of parabolas
G. Rote, M. Rüber, M. Saghafian, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI | arXiv
 
2024 | Published | Journal Article | IST-REx-ID: 18604 | OA
Removing popular faces in curve arrangements
P. De Nooijer, S. Terziadis, A. Weinberger, Z. Masárová, T. Mchedlidze, M. Löffler, G. Rote, Journal of Graph Algorithms and Applications 28 (2024) 47–82.
[Published Version] View | Files available | DOI | arXiv
 
2024 | Published | Conference Paper | IST-REx-ID: 18998 | OA
The shape of word embeddings: Quantifying non-isometry with topological data analysis
O. Draganov, S. Skiena, in:, Findings of the Association for Computational Linguistics: EMNLP 2024, Association for Computational Linguistics, 2024, pp. 12080–12099.
[Published Version] View | Files available | DOI | arXiv
 
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
Chromatic topological data analysis
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv (n.d.).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2024 | Draft | Preprint | IST-REx-ID: 18673 | OA
Merge trees of periodic filtrations
H. Edelsbrunner, T. Heiss, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
The Euclidean MST-ratio for bi-colored lattices
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, in:, 32nd International Symposium on Graph Drawing and Network Visualization, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI | arXiv
 
2024 | Published | Conference Paper | IST-REx-ID: 17146 | OA
Maximum Betti numbers of Čech complexes
H. Edelsbrunner, J. Pach, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI | arXiv
 
2024 | Published | Conference Paper | IST-REx-ID: 17170 | OA
Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of euclidean spaces and of Riemannian manifolds
D. Attali, H. Kourimska, C.D. Fillmore, I. Ghosh, A. Lieutier, E.R. Stephenson, M. Wintraecken, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, p. 11:1-11:19.
[Published Version] View | Files available | DOI | arXiv
 
2024 | Published | Conference Paper | IST-REx-ID: 18097 | OA
The ultimate frontier: An optimality construction for homotopy inference (media exposition)
D. Attali, H. Kourimska, C.D. Fillmore, I. Ghosh, A. Lieutier, E.R. Stephenson, M. Wintraecken, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI
 

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