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312 Publications
2025 |
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Journal Article |
IST-REx-ID: 20260 |
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Chambers EW, Fillmore CD, Stephenson ER, Wintraecken M. 2025. Burning or collapsing the medial axis is unstable. La Matematica. 4, 811–828.
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2025 |
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Journal Article |
IST-REx-ID: 20293 |
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Akopyan A, Edelsbrunner H, Virk Z, Wagner H. 2025. Tight bounds between the Jensen–Shannon divergence and the minmax divergence. Entropy. 27(8), 854.
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| PubMed | Europe PMC
2025 |
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Journal Article |
IST-REx-ID: 20323 |
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Brown A, Draganov O. 2025. Discrete microlocal Morse theory. Journal of Pure and Applied Algebra. 229(10), 108068.
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20490 |
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. 2025. Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. 132, 104248.
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2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20585
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. 2025. Chromatic alpha complexes. Foundations of Data Science. 8, 30–62.
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20657 |
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Edelsbrunner H, Pach J. 2025. Maximum Betti numbers of Čech complexes. Discrete & Computational Geometry.
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2025 |
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Conference Paper |
IST-REx-ID: 20658 |
Edelsbrunner H, Stephenson ER, Thoresen MH. 2025. The mid-sphere cousin of the medial axis transform. 4th International Joint Conference on Discrete Geometry and Mathematical Morphology. DGMM: Discrete Geometry and Mathematical Morphology, LNCS, vol. 16296, 133–147.
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2025 |
Published |
Conference Paper |
IST-REx-ID: 20729 |
Gonzalez-Diaz R, Soriano Trigueros M, Torras-Casas A. 2025. Additive partial matchings for persistent homology. Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation. ISSAC: International Symposium on Symbolic and Algebraic Computation, 188–196.
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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. 8, 1101–1119.
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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. 72, 29–48.
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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. 31st International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LNCS, vol. 14466, 18–33.
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earlier version | 2024 |
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Conference Paper |
IST-REx-ID: 15012 |
Pach J, Saghafian M, Schnider P. 2024. Decomposition of geometric graphs into star-forests. 31st International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LNCS, vol. 14465, 339–346.
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earlier version | 2024 |
Draft |
Preprint |
IST-REx-ID: 15091 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.
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| arXiv
2024 |
Published |
Conference Paper |
IST-REx-ID: 15093 |
Cultrera di Montesano S, Edelsbrunner H, Henzinger M, Ost L. 2024. Dynamically maintaining the persistent homology of time series. Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). SODA: Symposium on Discrete Algorithms, 243–295.
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2024 |
Published |
Thesis | PhD |
IST-REx-ID: 15094 |
Cultrera di Montesano S. 2024. Persistence and Morse theory for discrete geometric structures. Institute of Science and Technology Austria.
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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. 206(8), 105889.
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2024 |
Published |
Journal Article |
IST-REx-ID: 15380 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2024. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Journal of Applied and Computational Topology. 8, 557–578.
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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. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 69.
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2024 |
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Conference Paper |
IST-REx-ID: 17145 |
Rote G, Rüber M, Saghafian M. 2024. Grid peeling of parabolas. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 76.
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earlier version | 2024 |
Published |
Conference Paper |
IST-REx-ID: 17146 |
Edelsbrunner H, Pach J. 2024. Maximum Betti numbers of Čech complexes. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 53.
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