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315 Publications

2026 | Published | Journal Article | IST-REx-ID: 21781 | OA
Covering complete geometric graphs by monotone paths
A. Dumitrescu, J. Pach, M. Saghafian, A. Scott, Combinatorics and Number Theory 15 (2026) 73–82.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2026 | Scientific Software | IST-REx-ID: 21971 | OA
Quadrix
Y. Bokor Bleile, E. Cortinovis, (2026).
View | Files available | DOI
 
2026 | Published | Journal Article | IST-REx-ID: 20456 | OA | PlanS
On the size of chromatic Delaunay mosaics
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry 75 (2026) 24–47.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 22291 | OA | PlanS
Additive partial matchings induced by persistence maps
R. Gonzalez-Diaz, M. Soriano Trigueros, A. Torras-Casas, Journal of Symbolic Computation 138 (2026).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2026 | Published | Conference Paper | IST-REx-ID: 22299 | OA
The depth poset under transpositions in the filter
H. Edelsbrunner, M. Lipiński, M. Mrozek, M. Soriano Trigueros, F. Zimin, in:, 42nd International Symposium on Computational Geometry, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2026.
[Published Version] View | Files available | DOI | arXiv
 
2026 | Published | Conference Paper | IST-REx-ID: 22298 | OA
Real time interactive web GIS based modelling of high traffic air corridors in Iran using origin destination matrix analysis
M. Eghbali Mardekheh, M. Argany, F. Karimipour, S.M. Sedghitabar, in:, 8th ISPRS Geospatial Conference, Copernicus Publications, 2026, pp. 493–500.
[Published Version] View | Files available | DOI
 
2026 | Published | Thesis | PhD | IST-REx-ID: 21021 | OA
Braiding geometry and topology to study shapes and data
C.D. Fillmore, Braiding Geometry and Topology to Study Shapes and Data, Institute of Science and Technology Austria, 2026.
[Published Version] View | Files available | DOI
 
2026 | Published | Journal Article | IST-REx-ID: 21931 | OA
Counting equilibria of the electrostatic potential
H. Edelsbrunner, C.D. Fillmore, G. Oliveira, Proceedings of the London Mathematical Society 132 (2026).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20585 | OA
Chromatic alpha complexes
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, Foundations of Data Science 8 (2026) 30–62.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20490 | OA
Flips in two-dimensional hypertriangulations
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, M. Saghafian, European Journal of Combinatorics 132 (2026).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20867 | OA | PlanS [Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21253 | OA
Decomposition of geometric graphs into star-forests
J. Pach, M. Saghafian, P. Schnider, Computational Geometry 129 (2025).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 17149 | OA
Average and expected distortion of Voronoi paths and scapes
H. Edelsbrunner, A. Nikitenko, Discrete & Computational Geometry 73 (2025) 490–499.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
Order-2 Delaunay triangulations optimize angles
H. Edelsbrunner, A. Garber, M. Saghafian, Advances in Mathematics 461 (2025).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2025 | Published | Thesis | PhD | IST-REx-ID: 18979 | OA
Structures and computations in topological data analysis
O. Draganov, Structures and Computations in Topological Data Analysis, Institute of Science and Technology Austria, 2025.
[Published Version] View | Files available | DOI
 
2025 | Published | Journal Article | IST-REx-ID: 19937
Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality
M. Mahini, H. Beigy, S. Qadami, M. Saghafian, Information Sciences 719 (2025).
View | DOI | WoS
 
2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
On spheres with k points inside
H. Edelsbrunner, A. Garber, M. Saghafian, in:, 41st International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Conference Paper | IST-REx-ID: 20006 | OA
Banana trees for the persistence in time series experimentally
L. Ost, S. Cultrera di Montesano, H. Edelsbrunner, in:, 41st International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20260 | OA | PlanS
Burning or collapsing the medial axis is unstable
E.W. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, La Matematica 4 (2025) 811–828.
[Published Version] View | Files available | DOI
 
2025 | Published | Journal Article | IST-REx-ID: 20293 | OA | PlanS
Tight bounds between the Jensen–Shannon divergence and the minmax divergence
A. Akopyan, H. Edelsbrunner, Z. Virk, H. Wagner, Entropy 27 (2025).
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

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