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315 Publications
2026 |
Published |
Journal Article |
IST-REx-ID: 21781 |
A. Dumitrescu, J. Pach, M. Saghafian, and A. Scott, “Covering complete geometric graphs by monotone paths,” Combinatorics and Number Theory, vol. 15, no. 1. Mathematical Sciences Publishers, pp. 73–82, 2026.
[Preprint]
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| arXiv
2026 |
Scientific Software |
IST-REx-ID: 21971 |
Y. Bokor Bleile and E. Cortinovis, “Quadrix.” Institute of Science and Technology Austria, 2026.
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2026 |
Published |
Journal Article |
IST-REx-ID: 20456 |
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R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” Discrete and Computational Geometry, vol. 75. Springer Nature, pp. 24–47, 2026.
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| arXiv
2026 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 22291 |
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R. Gonzalez-Diaz, M. Soriano Trigueros, and A. Torras-Casas, “Additive partial matchings induced by persistence maps,” Journal of Symbolic Computation, vol. 138. Elsevier, 2026.
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| arXiv
2026 |
Published |
Conference Paper |
IST-REx-ID: 22299 |
H. Edelsbrunner, M. Lipiński, M. Mrozek, M. Soriano Trigueros, and F. Zimin, “The depth poset under transpositions in the filter,” in 42nd International Symposium on Computational Geometry, New Brunswick, NJ, United States, 2026, vol. 367.
[Published Version]
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| arXiv
2026 |
Published |
Conference Paper |
IST-REx-ID: 22298 |
M. Eghbali Mardekheh, M. Argany, F. Karimipour, and S. M. Sedghitabar, “Real time interactive web GIS based modelling of high traffic air corridors in Iran using origin destination matrix analysis,” in 8th ISPRS Geospatial Conference, Tehran, Iran, 2026, vol. X, no. 4/W8-2025, pp. 493–500.
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2026 |
Published |
Thesis | PhD |
IST-REx-ID: 21021 |
C. D. Fillmore, “Braiding geometry and topology to study shapes and data,” Institute of Science and Technology Austria, 2026.
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2026 |
Published |
Journal Article |
IST-REx-ID: 21931 |
H. Edelsbrunner, C. D. Fillmore, and G. Oliveira, “Counting equilibria of the electrostatic potential,” Proceedings of the London Mathematical Society, vol. 132, no. 5. Wiley, 2026.
[Preprint]
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 20585 |
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” Foundations of Data Science, vol. 8. American Institute of Mathematical Sciences, pp. 30–62, 2026.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 20490 |
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “Flips in two-dimensional hypertriangulations,” European Journal of Combinatorics, vol. 132. Elsevier, 2026.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20867 |
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N. Zava, “Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces,” Algebraic & Geometric Topology, vol. 25, no. 8. Mathematical Sciences Publishers, pp. 5153–5174, 2025.
[Published Version]
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 21253 |
J. Pach, M. Saghafian, and P. Schnider, “Decomposition of geometric graphs into star-forests,” Computational Geometry, vol. 129. Elsevier, 2025.
[Preprint]
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 17149 |
H. Edelsbrunner and A. Nikitenko, “Average and expected distortion of Voronoi paths and scapes,” Discrete & Computational Geometry, vol. 73. Springer Nature, pp. 490–499, 2025.
[Published Version]
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| arXiv
2025 |
Published |
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, 2025.
[Preprint]
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| arXiv
2025 |
Published |
Thesis | PhD |
IST-REx-ID: 18979 |
O. Draganov, “Structures and computations in topological data analysis,” Institute of Science and Technology Austria, 2025.
[Published Version]
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2025 |
Published |
Conference Paper |
IST-REx-ID: 20005 |
H. Edelsbrunner, A. Garber, and M. Saghafian, “On spheres with k points inside,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
[Published Version]
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| arXiv
2025 |
Published |
Conference Paper |
IST-REx-ID: 20006 |
L. Ost, S. Cultrera di Montesano, and H. Edelsbrunner, “Banana trees for the persistence in time series experimentally,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
[Published Version]
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20260 |
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E. W. Chambers, C. D. Fillmore, E. R. Stephenson, and M. Wintraecken, “Burning or collapsing the medial axis is unstable,” La Matematica, vol. 4. Springer Nature, pp. 811–828, 2025.
[Published Version]
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2025 |
Published |
Journal Article |
IST-REx-ID: 20293 |
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A. Akopyan, H. Edelsbrunner, Z. Virk, and H. Wagner, “Tight bounds between the Jensen–Shannon divergence and the minmax divergence,” Entropy, vol. 27, no. 8. MDPI, 2025.
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