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307 Publications
2025 |
Published |
Conference Paper |
IST-REx-ID: 20658 |
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.
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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.
2025 |
Published |
Conference Paper |
IST-REx-ID: 20729 |
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.
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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.
2025 |
Published |
Thesis | PhD |
IST-REx-ID: 18979 |
Structures and computations in topological data analysis
O. Draganov, Structures and Computations in Topological Data Analysis, Institute of Science and Technology Austria, 2025.
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O. Draganov, Structures and Computations in Topological Data Analysis, Institute of Science and Technology Austria, 2025.
2025 |
Published |
Journal Article |
IST-REx-ID: 20867 |
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Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces
N. Zava, Algebraic & Geometric Topology 25 (2025) 5153–5174.
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N. Zava, Algebraic & Geometric Topology 25 (2025) 5153–5174.
2025 |
Submitted |
Preprint |
IST-REx-ID: 21016 |
Identifying cobordisms using kernel persistence
Y. Bleile, L. Fajstrup, T. Heiss, A.M. Svane, S.S. Sørensen, ArXiv (n.d.).
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Y. Bleile, L. Fajstrup, T. Heiss, A.M. Svane, S.S. Sørensen, ArXiv (n.d.).
2025 |
Draft |
Preprint |
IST-REx-ID: 21050 |
Counting equilibria of the electrostatic potential
H. Edelsbrunner, C.D. Fillmore, G. Olivera, ArXiv (n.d.).
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H. Edelsbrunner, C.D. Fillmore, G. Olivera, ArXiv (n.d.).
2025 |
Published |
Journal Article |
IST-REx-ID: 21253 |
Decomposition of geometric graphs into star-forests
J. Pach, M. Saghafian, P. Schnider, Computational Geometry 129 (2025).
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J. Pach, M. Saghafian, P. Schnider, Computational Geometry 129 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 17149 |
Average and expected distortion of Voronoi paths and scapes
H. Edelsbrunner, A. Nikitenko, Discrete & Computational Geometry 73 (2025) 490–499.
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H. Edelsbrunner, A. Nikitenko, Discrete & Computational Geometry 73 (2025) 490–499.
2024 |
Published |
Journal Article |
IST-REx-ID: 14345 |
On angles in higher order Brillouin tessellations and related tilings in the plane
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, M. Saghafian, Discrete and Computational Geometry 72 (2024) 29–48.
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H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, M. Saghafian, Discrete and Computational Geometry 72 (2024) 29–48.
2024 |
Published |
Journal Article |
IST-REx-ID: 17891 |
Understanding higher-order interactions in information space
H. Edelsbrunner, K. Ölsböck, H. Wagner, Entropy 26 (2024).
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H. Edelsbrunner, K. Ölsböck, H. Wagner, Entropy 26 (2024).
2024 |
Published |
Conference Paper |
IST-REx-ID: 18097 |
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]
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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.
2024 |
Published |
Conference Paper |
IST-REx-ID: 18556 |
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]
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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.
2024 |
Published |
Journal Article |
IST-REx-ID: 18604 |
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.
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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.
2024 |
Published |
Thesis | PhD |
IST-REx-ID: 18667 |
New methods for applying topological data analysis to materials science
T. Heiss, New Methods for Applying Topological Data Analysis to Materials Science, Institute of Science and Technology Austria, 2024.
[Published Version]
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T. Heiss, New Methods for Applying Topological Data Analysis to Materials Science, Institute of Science and Technology Austria, 2024.
2024 |
Draft |
Preprint |
IST-REx-ID: 18673 |
Merge trees of periodic filtrations
H. Edelsbrunner, T. Heiss, ArXiv (n.d.).
[Preprint]
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H. Edelsbrunner, T. Heiss, ArXiv (n.d.).
2024 |
Published |
Journal Article |
IST-REx-ID: 13182 |
Geometric characterization of the persistence of 1D maps
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Journal of Applied and Computational Topology 8 (2024) 1101–1119.
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Journal of Applied and Computational Topology 8 (2024) 1101–1119.
2024 |
Draft |
Preprint |
IST-REx-ID: 18981 |
Discrete microlocal Morse theory
A. Brown, O. Draganov, ArXiv (n.d.).
[Preprint]
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A. Brown, O. Draganov, ArXiv (n.d.).
2024 |
Published |
Conference Paper |
IST-REx-ID: 18998 |
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.
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O. Draganov, S. Skiena, in:, Findings of the Association for Computational Linguistics: EMNLP 2024, Association for Computational Linguistics, 2024, pp. 12080–12099.
2024 |
Submitted |
Preprint |
IST-REx-ID: 18999 |
Chromatic topological data analysis
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv (n.d.).
[Preprint]
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S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv (n.d.).
2024 |
Published |
Conference Paper |
IST-REx-ID: 14888 |
Removing popular faces in curve arrangements
P. De Nooijer, S. Terziadis, A. Weinberger, Z. Masárová, T. Mchedlidze, M. Löffler, G. Rote, in:, 31st International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2024, pp. 18–33.
[Preprint]
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P. De Nooijer, S. Terziadis, A. Weinberger, Z. Masárová, T. Mchedlidze, M. Löffler, G. Rote, in:, 31st International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2024, pp. 18–33.