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316 Publications
2026 |
Published |
Journal Article |
IST-REx-ID: 21232 |
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Y. Bokor Bleile, “Towards stratified space learning: 2-complexes,” La Matematica, vol. 5. Springer Nature, 2026.
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| arXiv
2026 |
Published |
Conference Paper |
IST-REx-ID: 21374 |
T. Antić et al., “Edge-constrained Hamiltonian paths on a point set,” in 51st International Conference on Current Trends in Theory and Practice of Computer Science, Krakow, Poland, 2026, vol. 16448, pp. 532–546.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 21407 |
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H. Edelsbrunner, M. Kahle, and S. Kanazawa, “Maximum persistent Betti numbers of Čech complexes,” Journal of Applied and Computational Topology, vol. 10. Springer Nature, 2026.
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| arXiv
2026 |
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Conference Paper |
IST-REx-ID: 21410 |
A. Jabal Ameli, F. Motiei, and M. Saghafian, “On the MST-ratio: Theoretical bounds and complexity of finding the maximum,” in 20th International Conference and Workshops on Algorithms and Computation, Perugia, Italy, 2026, vol. 16444, pp. 386–401.
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| arXiv
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.
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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: 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.
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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
2026 |
Published |
Journal Article |
IST-REx-ID: 20657 |
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H. Edelsbrunner and J. Pach, “Maximum Betti numbers of Čech complexes,” Discrete & Computational Geometry, vol. 75. Springer Nature, pp. 597–624, 2026.
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| arXiv
2026 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 22648 |
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T. K. Dey, M. Lipiński, and M. Soriano Trigueros, “Conley-Morse persistence barcode: A homological signature of combinatorial bifurcations,” Foundations of Computational Mathematics. Springer, 2026.
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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. AIMS, pp. 30–62, 2026.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 20980 |
T. K. Dey, A. Haas, and M. Lipiński, “Computing a connection matrix and persistence efficiently from a morse decomposition,” SIAM Journal on Applied Dynamical Systems, vol. 25, no. 1. SIAM, pp. 108–130, 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.
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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.
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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.
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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.
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