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307 Publications
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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2025 |
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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 |
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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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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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2024 |
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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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2024 |
Published |
Conference Paper |
IST-REx-ID: 18097 |
Attali, Dominique, et al. “The Ultimate Frontier: An Optimality Construction for Homotopy Inference (Media Exposition).” 40th International Symposium on Computational Geometry, vol. 293, 87, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.SoCG.2024.87.
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2024 |
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Conference Paper |
IST-REx-ID: 18556 |
Cultrera di Montesano, Sebastiano, et al. “The Euclidean MST-Ratio for Bi-Colored Lattices.” 32nd International Symposium on Graph Drawing and Network Visualization, vol. 320, 3, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.GD.2024.3.
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2024 |
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Journal Article |
IST-REx-ID: 18604 |
De Nooijer, Phoebe, et al. “Removing Popular Faces in Curve Arrangements.” Journal of Graph Algorithms and Applications, vol. 28, no. 2, Brown University, 2024, pp. 47–82, doi:10.7155/jgaa.v28i2.2988.
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2024 |
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Thesis | PhD |
IST-REx-ID: 18667 |
Heiss, Teresa. New Methods for Applying Topological Data Analysis to Materials Science. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:18667.
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2024 |
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IST-REx-ID: 18673 |
Edelsbrunner, Herbert, and Teresa Heiss. “Merge Trees of Periodic Filtrations.” ArXiv, doi:10.48550/arXiv.2408.16575.
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2024 |
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Journal Article |
IST-REx-ID: 13182 |
Biswas, Ranita, et al. “Geometric Characterization of the Persistence of 1D Maps.” Journal of Applied and Computational Topology, vol. 8, Springer Nature, 2024, pp. 1101–19, doi:10.1007/s41468-023-00126-9.
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2024 |
Draft |
Preprint |
IST-REx-ID: 18981 |
Brown, Adam, and Ondrej Draganov. “Discrete Microlocal Morse Theory.” ArXiv, doi:10.48550/arXiv.2209.14993.
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2024 |
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Conference Paper |
IST-REx-ID: 18998 |
Draganov, Ondrej, and Steven Skiena. “The Shape of Word Embeddings: Quantifying Non-Isometry with Topological Data Analysis.” Findings of the Association for Computational Linguistics: EMNLP 2024, Association for Computational Linguistics, 2024, pp. 12080–99, doi:10.18653/v1/2024.findings-emnlp.705.
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2024 |
Submitted |
Preprint |
IST-REx-ID: 18999 |
Cultrera di Montesano, Sebastiano, et al. “Chromatic Topological Data Analysis.” ArXiv, 2406.04102, doi:10.48550/ARXIV.2406.04102.
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2024 |
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Conference Paper |
IST-REx-ID: 14888 |
De Nooijer, Phoebe, et al. “Removing Popular Faces in Curve Arrangements.” 31st International Symposium on Graph Drawing and Network Visualization, vol. 14466, Springer Nature, 2024, pp. 18–33, doi:10.1007/978-3-031-49275-4_2.
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2024 |
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Conference Paper |
IST-REx-ID: 15012 |
Pach, János, et al. “Decomposition of Geometric Graphs into Star-Forests.” 31st International Symposium on Graph Drawing and Network Visualization, vol. 14465, Springer Nature, 2024, pp. 339–46, doi:10.1007/978-3-031-49272-3_23.
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2024 |
Draft |
Preprint |
IST-REx-ID: 15091 |
Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” ArXiv, 2212.03128, doi:10.48550/arXiv.2212.03128.
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2024 |
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Conference Paper |
IST-REx-ID: 15093 |
Cultrera di Montesano, Sebastiano, et al. “Dynamically Maintaining the Persistent Homology of Time Series.” Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), edited by David P. Woodruff, Society for Industrial and Applied Mathematics, 2024, pp. 243–95, doi:10.1137/1.9781611977912.11.
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2024 |
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Thesis | PhD |
IST-REx-ID: 15094 |
Cultrera di Montesano, Sebastiano. Persistence and Morse Theory for Discrete Geometric Structures. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:15094.
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2024 |
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Journal Article |
IST-REx-ID: 15247 |
Frankl, Peter, et al. “Odd-Sunflowers.” Journal of Combinatorial Theory, Series A, vol. 206, no. 8, 105889, Elsevier, 2024, doi:10.1016/j.jcta.2024.105889.
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