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277 Publications
2024 | Published | Journal Article | IST-REx-ID: 14345 | 
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “On angles in higher order Brillouin tessellations and related tilings in the plane,” Discrete and Computational Geometry, vol. 72. Springer Nature, pp. 29–48, 2024.
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2024 | Published | Conference Paper | IST-REx-ID: 17144 |
H. Kourimska, A. Lieutier, and M. Wintraecken, “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, Athens, Greece, 2024, vol. 293.
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2024 | Published | Conference Paper | IST-REx-ID: 17145 |
G. Rote, M. Rüber, and M. Saghafian, “Grid peeling of parabolas,” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
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2024 | Published | Conference Paper | IST-REx-ID: 17146 |
H. Edelsbrunner and J. Pach, “Maximum Betti numbers of Čech complexes,” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
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2024 | Epub ahead of print | Journal Article | IST-REx-ID: 17149 |
H. Edelsbrunner and A. Nikitenko, “Average and expected distortion of Voronoi paths and scapes,” Discrete and Computational Geometry. Springer Nature, 2024.
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2024 | Published | Conference Paper | IST-REx-ID: 17170 |
D. Attali et al., “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, Athens, Greece, 2024, vol. 293, p. 11:1-11:19.
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2024 | Published | Journal Article | IST-REx-ID: 17190 |
H. Edelsbrunner, A. Garber, M. Ghafaris, T. Heiss, M. Saghafiant, and M. Wintraecken, “Brillouin zones of integer lattices and their perturbations,” SIAM Journal on Discrete Mathematics, vol. 38, no. 2. Society for Industrial and Applied Mathematics, pp. 1784–1807, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 17891 |
H. Edelsbrunner, K. Ölsböck, and H. Wagner, “Understanding higher-order interactions in information space,” Entropy, vol. 26, no. 8. MDPI, 2024.
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| PubMed | Europe PMC
2024 | Published | Conference Paper | IST-REx-ID: 14888 |
P. De Nooijer et al., “Removing popular faces in curve arrangements,” in 31st International Symposium on Graph Drawing and Network Visualization, Isola delle Femmine, Palermo, Italy, 2024, vol. 14466, pp. 18–33.
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2024 | Published | Conference Paper | IST-REx-ID: 15012 |
J. Pach, M. Saghafian, and P. Schnider, “Decomposition of geometric graphs into star-forests,” in 31st International Symposium on Graph Drawing and Network Visualization, Isola delle Femmine, Palermo, Italy, 2024, vol. 14465, pp. 339–346.
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2024 | Submitted | Preprint | IST-REx-ID: 15091 |
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” arXiv. .
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2024 | Published | Conference Paper | IST-REx-ID: 15093 |
S. Cultrera di Montesano, H. Edelsbrunner, M. Henzinger, and L. Ost, “Dynamically maintaining the persistent homology of time series,” in Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Alexandria, VA, USA, 2024, pp. 243–295.
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2024 | Published | Thesis | IST-REx-ID: 15094 |
S. Cultrera di Montesano, “Persistence and Morse theory for discrete geometric structures,” Institute of Science and Technology Austria, 2024.
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2024 | Epub ahead of print | Journal Article | IST-REx-ID: 15247 |
P. Frankl, J. Pach, and D. Pálvölgyi, “Odd-sunflowers,” Journal of Combinatorial Theory, Series A, vol. 206, no. 8. Elsevier, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 15380 |
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth in arrangements: Dehn–Sommerville–Euler relations with applications,” Journal of Applied and Computational Topology. Springer Nature, 2024.
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2024 | Published | Conference Paper | IST-REx-ID: 18097 |
D. Attali et al., “The ultimate frontier: An optimality construction for homotopy inference (media exposition),” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
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2024 | Published | Conference Paper | IST-REx-ID: 18556 |
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “The Euclidean MST-ratio for bi-colored lattices,” in 32nd International Symposium on Graph Drawing and Network Visualization, Vienna, Austria, 2024, vol. 320.
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2024 | Published | Journal Article | IST-REx-ID: 18604 |
P. De Nooijer et al., “Removing popular faces in curve arrangements,” Journal of Graph Algorithms and Applications, vol. 28, no. 2. Brown University, pp. 47–82, 2024.
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2024 | Epub ahead of print | Journal Article | IST-REx-ID: 18626 |
H. Edelsbrunner, A. Garber, and M. Saghafian, “Order-2 Delaunay triangulations optimize angles,” Advances in Mathematics, vol. 461. Elsevier, 2024.
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2024 | Submitted | Preprint | IST-REx-ID: 18673 |
H. Edelsbrunner and T. Heiss, “Merge trees of periodic filtrations,” arXiv. .
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