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12321 Publications


2024 | Published | Conference Paper | IST-REx-ID: 17634 | OA
QuAK: Quantitative Automata Kit
M. Chalupa, T.A. Henzinger, N.A. Mazzocchi, N.E. Sarac, in:, 12th International Symposium on Leveraging Applications of Formal Methods, Verification and Validation, Springer Nature, 2024, pp. 3–20.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 14345 | OA
On angles in higher order Brillouin tessellations and related tilings in the plane
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, M. Saghafian, Discrete and Computational Geometry 72 (2024) 29–48.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 

2024 | Published | Thesis | PhD | IST-REx-ID: 18132 | OA
Counting rational points over function fields
J. Glas, Counting Rational Points over Function Fields, Institute of Science and Technology Austria, 2024.
[Published Version] View | Files available | DOI
 

2024 | Published | Journal Article | IST-REx-ID: 18173 | OA
Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t)
J. Glas, Journal of the London Mathematical Society 110 (2024).
[Published Version] View | Files available | DOI | arXiv
 

earlier version | 2024 | Submitted | Preprint | IST-REx-ID: 18295 | OA
Canonical singularities on moduli spaces of rational curves via the circle method
J. Glas, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Published | Conference Paper | IST-REx-ID: 17144 | OA
The medial axis of any closed bounded set Is Lipschitz stable with respect to the Hausdorff distance Under ambient diffeomorphisms
H. Kourimska, A. Lieutier, M. Wintraecken, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI | arXiv
 

earlier version | 2024 | Published | Conference Paper | IST-REx-ID: 17146 | OA
Maximum Betti numbers of Čech complexes
H. Edelsbrunner, J. Pach, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI | arXiv
 

2024 | Published | Conference Paper | IST-REx-ID: 17145 | OA
Grid peeling of parabolas
G. Rote, M. Rüber, M. Saghafian, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 17891 | OA
Understanding higher-order interactions in information space
H. Edelsbrunner, K. Ölsböck, H. Wagner, Entropy 26 (2024).
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 

earlier version | 2024 | Published | Conference Paper | IST-REx-ID: 15012 | OA
Decomposition of geometric graphs into star-forests
J. Pach, M. Saghafian, P. Schnider, in:, 31st International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2024, pp. 339–346.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 17190 | OA
Brillouin zones of integer lattices and their perturbations
H. Edelsbrunner, A. Garber, M. Ghafaris, T. Heiss, M. Saghafiant, M. Wintraecken, SIAM Journal on Discrete Mathematics 38 (2024) 1784–1807.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
The Euclidean MST-ratio for bi-colored lattices
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, in:, 32nd International Symposium on Graph Drawing and Network Visualization, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Conference Paper | IST-REx-ID: 18097 | OA
The ultimate frontier: An optimality construction for homotopy inference (media exposition)
D. Attali, H. Kourimska, C.D. Fillmore, I. Ghosh, A. Lieutier, E.R. Stephenson, M. Wintraecken, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI
 

2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
Geometric characterization of the persistence of 1D maps
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Journal of Applied and Computational Topology 8 (2024) 1101–1119.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 

2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
Depth in arrangements: Dehn–Sommerville–Euler relations with applications
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Journal of Applied and Computational Topology 8 (2024) 557–578.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 

2024 | Published | Journal Article | IST-REx-ID: 15247 | OA
Odd-sunflowers
P. Frankl, J. Pach, D. Pálvölgyi, Journal of Combinatorial Theory, Series A 206 (2024).
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Thesis | PhD | IST-REx-ID: 18667 | OA
New methods for applying topological data analysis to materials science
T. Heiss, New Methods for Applying Topological Data Analysis to Materials Science, Institute of Science and Technology Austria, 2024.
[Published Version] View | Files available | DOI
 

2024 | Published | Thesis | PhD | IST-REx-ID: 15094 | OA
Persistence and Morse theory for discrete geometric structures
S. Cultrera di Montesano, Persistence and Morse Theory for Discrete Geometric Structures, Institute of Science and Technology Austria, 2024.
[Published Version] View | Files available | DOI
 

2024 | Published | Conference Paper | IST-REx-ID: 15093 | OA
Dynamically maintaining the persistent homology of time series
S. Cultrera di Montesano, H. Edelsbrunner, M. Henzinger, L. Ost, in:, D.P. Woodruff (Ed.), Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Society for Industrial and Applied Mathematics, 2024, pp. 243–295.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

earlier version | 2024 | Draft | Preprint | IST-REx-ID: 18981 | OA
Discrete microlocal Morse theory
A. Brown, O. Draganov, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

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