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307 Publications
2025 |
Published |
Conference Paper |
IST-REx-ID: 20658 |
Edelsbrunner, H., Stephenson, E. R., & Thoresen, M. H. (2025). The mid-sphere cousin of the medial axis transform. In 4th International Joint Conference on Discrete Geometry and Mathematical Morphology (Vol. 16296, pp. 133–147). Groningen, The Netherlands: Springer Nature. https://doi.org/10.1007/978-3-032-09544-2_10
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| arXiv
2025 |
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Conference Paper |
IST-REx-ID: 20729 |
Gonzalez-Diaz, R., Soriano Trigueros, M., & Torras-Casas, A. (2025). Additive partial matchings for persistent homology. In Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation (pp. 188–196). Guanajuato, Mexico: Association for Computing Machinery. https://doi.org/10.1145/3747199.3747561
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2025 |
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Thesis | PhD |
IST-REx-ID: 18979 |
Draganov, O. (2025). Structures and computations in topological data analysis. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:18979
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2025 |
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IST-REx-ID: 20867 |
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Zava, N. (2025). Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces. Algebraic & Geometric Topology. Mathematical Sciences Publishers. https://doi.org/10.2140/agt.2025.25.5153
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| arXiv
2025 |
Submitted |
Preprint |
IST-REx-ID: 21016 |
Bleile, Y., Fajstrup, L., Heiss, T., Svane, A. M., & Sørensen, S. S. (n.d.). Identifying cobordisms using kernel persistence. arXiv. https://doi.org/10.48550/arXiv.2505.17858
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| arXiv
2025 |
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Preprint |
IST-REx-ID: 21050 |
Edelsbrunner, H., Fillmore, C. D., & Olivera, G. (n.d.). Counting equilibria of the electrostatic potential. arXiv. https://doi.org/10.48550/ARXIV.2501.05315
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2025 |
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Journal Article |
IST-REx-ID: 21253 |
Pach, J., Saghafian, M., & Schnider, P. (2025). Decomposition of geometric graphs into star-forests. Computational Geometry. Elsevier. https://doi.org/10.1016/j.comgeo.2025.102186
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2025 |
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Journal Article |
IST-REx-ID: 17149 |
Edelsbrunner, H., & Nikitenko, A. (2025). Average and expected distortion of Voronoi paths and scapes. Discrete & Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-024-00660-y
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 14345 |
Edelsbrunner, H., Garber, A., Ghafari, M., Heiss, T., & Saghafian, M. (2024). On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-023-00566-1
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 17891 |
Edelsbrunner, H., Ölsböck, K., & Wagner, H. (2024). Understanding higher-order interactions in information space. Entropy. MDPI. https://doi.org/10.3390/e26080637
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2024 |
Published |
Conference Paper |
IST-REx-ID: 18097 |
Attali, D., Kourimska, H., Fillmore, C. D., Ghosh, I., Lieutier, A., Stephenson, E. R., & Wintraecken, M. (2024). The ultimate frontier: An optimality construction for homotopy inference (media exposition). In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.87
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2024 |
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Conference Paper |
IST-REx-ID: 18556 |
Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2024). The Euclidean MST-ratio for bi-colored lattices. In 32nd International Symposium on Graph Drawing and Network Visualization (Vol. 320). Vienna, Austria: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.GD.2024.3
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18604 |
De Nooijer, P., Terziadis, S., Weinberger, A., Masárová, Z., Mchedlidze, T., Löffler, M., & Rote, G. (2024). Removing popular faces in curve arrangements. Journal of Graph Algorithms and Applications. Brown University. https://doi.org/10.7155/jgaa.v28i2.2988
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| arXiv
2024 |
Published |
Thesis | PhD |
IST-REx-ID: 18667 |
Heiss, T. (2024). New methods for applying topological data analysis to materials science. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:18667
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2024 |
Draft |
Preprint |
IST-REx-ID: 18673 |
Edelsbrunner, H., & Heiss, T. (n.d.). Merge trees of periodic filtrations. arXiv. https://doi.org/10.48550/arXiv.2408.16575
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 13182 |
Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (2024). Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology. Springer Nature. https://doi.org/10.1007/s41468-023-00126-9
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2024 |
Draft |
Preprint |
IST-REx-ID: 18981 |
Brown, A., & Draganov, O. (n.d.). Discrete microlocal Morse theory. arXiv. https://doi.org/10.48550/arXiv.2209.14993
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 18998 |
Draganov, O., & Skiena, S. (2024). The shape of word embeddings: Quantifying non-isometry with topological data analysis. In Findings of the Association for Computational Linguistics: EMNLP 2024 (pp. 12080–12099). Miami, FL, United States: Association for Computational Linguistics. https://doi.org/10.18653/v1/2024.findings-emnlp.705
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| arXiv
2024 |
Submitted |
Preprint |
IST-REx-ID: 18999 |
Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (n.d.). Chromatic topological data analysis. arXiv. https://doi.org/10.48550/ARXIV.2406.04102
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 14888 |
De Nooijer, P., Terziadis, S., Weinberger, A., Masárová, Z., Mchedlidze, T., Löffler, M., & Rote, G. (2024). Removing popular faces in curve arrangements. In 31st International Symposium on Graph Drawing and Network Visualization (Vol. 14466, pp. 18–33). Isola delle Femmine, Palermo, Italy: Springer Nature. https://doi.org/10.1007/978-3-031-49275-4_2
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