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283 Publications
2025 | Published | Journal Article | IST-REx-ID: 18626 | 
Edelsbrunner, H., Garber, A., & Saghafian, M. (2025). Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.110055
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2025 | Published | Journal Article | IST-REx-ID: 17149 |
Edelsbrunner, H., & Nikitenko, A. (2025). Average and expected distortion of Voronoi paths and scapes. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-024-00660-y
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2025 | Published | Thesis | 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 | Epub ahead of print | Journal Article | IST-REx-ID: 19937
Mahini, M., Beigy, H., Qadami, S., & Saghafian, M. (2025). Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality. Information Sciences. Elsevier. https://doi.org/10.1016/j.ins.2025.122425
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2024 | Published | Conference Paper | IST-REx-ID: 17145 |
Rote, G., Rüber, M., & Saghafian, M. (2024). Grid peeling of parabolas. In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.76
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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: 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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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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2024 | Published | Journal Article | IST-REx-ID: 15247 |
Frankl, P., Pach, J., & Pálvölgyi, D. (2024). Odd-sunflowers. Journal of Combinatorial Theory, Series A. Elsevier. https://doi.org/10.1016/j.jcta.2024.105889
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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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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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2024 | Published | Conference Paper | IST-REx-ID: 15012 |
Pach, J., Saghafian, M., & Schnider, P. (2024). Decomposition of geometric graphs into star-forests. In 31st International Symposium on Graph Drawing and Network Visualization (Vol. 14465, pp. 339–346). Isola delle Femmine, Palermo, Italy: Springer Nature. https://doi.org/10.1007/978-3-031-49272-3_23
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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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2024 | Published | 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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2024 | Published | Conference Paper | IST-REx-ID: 17146 |
Edelsbrunner, H., & Pach, J. (2024). Maximum Betti numbers of Čech complexes. In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.53
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2024 | Published | Conference Paper | IST-REx-ID: 17170 |
Attali, D., Kourimska, H., Fillmore, C. D., Ghosh, I., Lieutier, A., Stephenson, E. R., & Wintraecken, M. (2024). Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of euclidean spaces and of Riemannian manifolds. In 40th International Symposium on Computational Geometry (Vol. 293, p. 11:1-11:19). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.11
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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 | Published | Conference Paper | IST-REx-ID: 17144 |
Kourimska, H., Lieutier, A., & Wintraecken, M. (2024). The medial axis of any closed bounded set Is Lipschitz stable with respect to the Hausdorff distance Under ambient diffeomorphisms. In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.69
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2024 | Published | Journal Article | IST-REx-ID: 17190 |
Edelsbrunner, H., Garber, A., Ghafaris, M., Heiss, T., Saghafiant, M., & Wintraecken, M. (2024). Brillouin zones of integer lattices and their perturbations. SIAM Journal on Discrete Mathematics. Society for Industrial and Applied Mathematics. https://doi.org/10.1137/22M1489071
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2024 | Published | Thesis | 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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