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315 Publications

2026 | Published | Journal Article | IST-REx-ID: 21781 | OA
Dumitrescu, A., Pach, J., Saghafian, M., & Scott, A. (2026). Covering complete geometric graphs by monotone paths. Combinatorics and Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/cnt.2026.15.73
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2026 | Scientific Software | IST-REx-ID: 21971 | OA
Bokor Bleile, Y., & Cortinovis, E. (2026). Quadrix. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-21971
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2026 | Published | Journal Article | IST-REx-ID: 20456 | OA | PlanS
Biswas, R., Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2026). On the size of chromatic Delaunay mosaics. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-025-00778-7
[Published Version] View | Files available | DOI | WoS | arXiv
 
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 22291 | OA | PlanS
Gonzalez-Diaz, R., Soriano Trigueros, M., & Torras-Casas, A. (2026). Additive partial matchings induced by persistence maps. Journal of Symbolic Computation. Elsevier. https://doi.org/10.1016/j.jsc.2026.102598
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2026 | Published | Conference Paper | IST-REx-ID: 22299 | OA
Edelsbrunner, H., Lipiński, M., Mrozek, M., Soriano Trigueros, M., & Zimin, F. (2026). The depth poset under transpositions in the filter. In 42nd International Symposium on Computational Geometry (Vol. 367). New Brunswick, NJ, United States: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.SOCG.2026.41
[Published Version] View | Files available | DOI | arXiv
 
2026 | Published | Conference Paper | IST-REx-ID: 22298 | OA
Eghbali Mardekheh, M., Argany, M., Karimipour, F., & Sedghitabar, S. M. (2026). Real time interactive web GIS based modelling of high traffic air corridors in Iran using origin destination matrix analysis. In 8th ISPRS Geospatial Conference (Vol. X, pp. 493–500). Tehran, Iran: Copernicus Publications. https://doi.org/10.5194/isprs-annals-x-4-w8-2025-493-2026
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2026 | Published | Thesis | PhD | IST-REx-ID: 21021 | OA
Fillmore, C. D. (2026). Braiding geometry and topology to study shapes and data. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-21021
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2026 | Published | Journal Article | IST-REx-ID: 21931 | OA
Edelsbrunner, H., Fillmore, C. D., & Oliveira, G. (2026). Counting equilibria of the electrostatic potential. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.70163
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20585 | OA
Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2026). Chromatic alpha complexes. Foundations of Data Science. American Institute of Mathematical Sciences. https://doi.org/10.3934/fods.2025003
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20490 | OA
Edelsbrunner, H., Garber, A., Ghafari, M., Heiss, T., & Saghafian, M. (2026). Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. Elsevier. https://doi.org/10.1016/j.ejc.2025.104248
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20867 | OA | PlanS
Zava, N. (2025). Coarse and bi-Lipschitz embeddability of subspaces of the Gromov–Hausdorff space into Hilbert spaces. Algebraic & Geometric Topology. Mathematical Sciences Publishers. https://doi.org/10.2140/agt.2025.25.5153
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21253 | OA
Pach, J., Saghafian, M., & Schnider, P. (2025). Decomposition of geometric graphs into star-forests. Computational Geometry. Elsevier. https://doi.org/10.1016/j.comgeo.2025.102186
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 17149 | OA
Edelsbrunner, H., & Nikitenko, A. (2025). Average and expected distortion of Voronoi paths and scapes. Discrete & Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-024-00660-y
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
Edelsbrunner, H., Garber, A., & Saghafian, M. (2025). Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.110055
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2025 | Published | Thesis | PhD | IST-REx-ID: 18979 | OA
Draganov, O. (2025). Structures and computations in topological data analysis. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:18979
[Published Version] View | Files available | DOI
 
2025 | Published | Journal Article | IST-REx-ID: 19937
Mahini, M., Beigy, H., Qadami, S., & Saghafian, M. (2025). Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality. Information Sciences. Elsevier. https://doi.org/10.1016/j.ins.2025.122425
View | DOI | WoS
 
2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
Edelsbrunner, H., Garber, A., & Saghafian, M. (2025). On spheres with k points inside. In 41st International Symposium on Computational Geometry (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2025.43
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Conference Paper | IST-REx-ID: 20006 | OA
Ost, L., Cultrera di Montesano, S., & Edelsbrunner, H. (2025). Banana trees for the persistence in time series experimentally. In 41st International Symposium on Computational Geometry (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2025.71
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
Chambers, E. W., Fillmore, C. D., Stephenson, E. R., & Wintraecken, M. (2025). Burning or collapsing the medial axis is unstable. La Matematica. Springer Nature. https://doi.org/10.1007/s44007-025-00170-0
[Published Version] View | Files available | DOI
 
2025 | Published | Journal Article | IST-REx-ID: 20293 | OA | PlanS
Akopyan, A., Edelsbrunner, H., Virk, Z., & Wagner, H. (2025). Tight bounds between the Jensen–Shannon divergence and the minmax divergence. Entropy. MDPI. https://doi.org/10.3390/e27080854
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

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