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277 Publications
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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| arXiv
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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| arXiv
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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| arXiv
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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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13165 |
L. Fang, H. Huang, J. Pach, G. Tardos, and J. Zuo, “Successive vertex orderings of fully regular graphs,” Journal of Combinatorial Theory. Series A, vol. 199, no. 10. Elsevier, 2023.
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| arXiv
2023 | Epub ahead of print | Journal Article | IST-REx-ID: 13182 |
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Geometric characterization of the persistence of 1D maps,” Journal of Applied and Computational Topology. Springer Nature, 2023.
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2023 | Published | Journal Article | IST-REx-ID: 14362 |
I. Castellano, A. Giordano Bruno, and N. Zava, “Weakly weighted generalised quasi-metric spaces and semilattices,” Theoretical Computer Science, vol. 977. Elsevier, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14464 |
Á. Ambrus, M. Csikós, G. Kiss, J. Pach, and G. Somlai, “Optimal embedded and enclosing isosceles triangles,” International Journal of Foundations of Computer Science, vol. 34, no. 7. World Scientific Publishing, pp. 737–760, 2023.
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