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307 Publications
2025 |
Published |
Journal Article |
IST-REx-ID: 18626 |
Edelsbrunner, Herbert, et al. “Order-2 Delaunay Triangulations Optimize Angles.” Advances in Mathematics, vol. 461, 110055, Elsevier, 2025, doi:10.1016/j.aim.2024.110055.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 19937
Mahini, Mohammad, et al. “Simplet-Based Signatures and Approximation in Simplicial Complexes: Frequency, Degree, and Centrality.” Information Sciences, vol. 719, no. 11, 122425, Elsevier, 2025, doi:10.1016/j.ins.2025.122425.
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2025 |
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Conference Paper |
IST-REx-ID: 20005 |
Edelsbrunner, Herbert, et al. “On Spheres with k Points Inside.” 41st International Symposium on Computational Geometry, vol. 332, 43, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025, doi:10.4230/LIPIcs.SoCG.2025.43.
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| arXiv
2025 |
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Conference Paper |
IST-REx-ID: 20006 |
Ost, Lara, et al. “Banana Trees for the Persistence in Time Series Experimentally.” 41st International Symposium on Computational Geometry, vol. 332, 71, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025, doi:10.4230/LIPIcs.SoCG.2025.71.
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 20260 |
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Chambers, Erin Wolf, et al. “Burning or Collapsing the Medial Axis Is Unstable.” La Matematica, vol. 4, Springer Nature, 2025, pp. 811–28, doi:10.1007/s44007-025-00170-0.
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2025 |
Published |
Journal Article |
IST-REx-ID: 20293 |
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Akopyan, Arseniy, et al. “Tight Bounds between the Jensen–Shannon Divergence and the Minmax Divergence.” Entropy, vol. 27, no. 8, 854, MDPI, 2025, doi:10.3390/e27080854.
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2025 |
Published |
Journal Article |
IST-REx-ID: 20323 |
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Brown, Adam, and Ondrej Draganov. “Discrete Microlocal Morse Theory.” Journal of Pure and Applied Algebra, vol. 229, no. 10, 108068, Elsevier, 2025, doi:10.1016/j.jpaa.2025.108068.
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20490 |
Edelsbrunner, Herbert, et al. “Flips in Two-Dimensional Hypertriangulations.” European Journal of Combinatorics, vol. 132, 104248, Elsevier, 2025, doi:10.1016/j.ejc.2025.104248.
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2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20585
Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” Foundations of Data Science, vol. 8, American Institute of Mathematical Sciences, 2025, pp. 30–62, doi:10.3934/fods.2025003.
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20657 |
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Edelsbrunner, Herbert, and János Pach. “Maximum Betti Numbers of Čech Complexes.” Discrete & Computational Geometry, Springer Nature, 2025, doi:10.1007/s00454-025-00796-5.
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| arXiv
2025 |
Published |
Conference Paper |
IST-REx-ID: 20658 |
Edelsbrunner, Herbert, et al. “The Mid-Sphere Cousin of the Medial Axis Transform.” 4th International Joint Conference on Discrete Geometry and Mathematical Morphology, vol. 16296, Springer Nature, 2025, pp. 133–47, doi:10.1007/978-3-032-09544-2_10.
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2025 |
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Conference Paper |
IST-REx-ID: 20729 |
Gonzalez-Diaz, Rocio, et al. “Additive Partial Matchings for Persistent Homology.” Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation, Association for Computing Machinery, 2025, pp. 188–96, doi:10.1145/3747199.3747561.
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2025 |
Published |
Thesis | PhD |
IST-REx-ID: 18979 |
Draganov, Ondrej. Structures and Computations in Topological Data Analysis. Institute of Science and Technology Austria, 2025, doi:10.15479/at:ista:18979.
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2025 |
Published |
Journal Article |
IST-REx-ID: 20867 |
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Zava, Nicolò. “Coarse and Bi-Lipschitz Embeddability of Subspaces of the Gromov–Hausdorff Space into Hilbert Spaces.” Algebraic & Geometric Topology, vol. 25, no. 8, Mathematical Sciences Publishers, 2025, pp. 5153–74, doi:10.2140/agt.2025.25.5153.
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| arXiv
2025 |
Submitted |
Preprint |
IST-REx-ID: 21016 |
Bleile, Yossi, et al. “Identifying Cobordisms Using Kernel Persistence.” ArXiv, 2505.17858, doi:10.48550/arXiv.2505.17858.
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| arXiv
2025 |
Draft |
Preprint |
IST-REx-ID: 21050 |
Edelsbrunner, Herbert, et al. “Counting Equilibria of the Electrostatic Potential.” ArXiv, doi:10.48550/ARXIV.2501.05315.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 21253 |
Pach, János, et al. “Decomposition of Geometric Graphs into Star-Forests.” Computational Geometry, vol. 129, 102186, Elsevier, 2025, doi:10.1016/j.comgeo.2025.102186.
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2025 |
Published |
Journal Article |
IST-REx-ID: 17149 |
Edelsbrunner, Herbert, and Anton Nikitenko. “Average and Expected Distortion of Voronoi Paths and Scapes.” Discrete & Computational Geometry, vol. 73, Springer Nature, 2025, pp. 490–99, doi:10.1007/s00454-024-00660-y.
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 14345 |
Edelsbrunner, Herbert, et al. “On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane.” Discrete and Computational Geometry, vol. 72, Springer Nature, 2024, pp. 29–48, doi:10.1007/s00454-023-00566-1.
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 17891 |
Edelsbrunner, Herbert, et al. “Understanding Higher-Order Interactions in Information Space.” Entropy, vol. 26, no. 8, 637, MDPI, 2024, doi:10.3390/e26080637.
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