Order-2 Delaunay triangulations optimize angles
H. Edelsbrunner, A. Garber, M. Saghafian, Advances in Mathematics 461 (2025).

Average and expected distortion of Voronoi paths and scapes
H. Edelsbrunner, A. Nikitenko, Discrete and Computational Geometry 73 (2025) 490–499.

Structures and computations in topological data analysis
O. Draganov, Structures and Computations in Topological Data Analysis, Institute of Science and Technology Austria, 2025.

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.

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.

Burning or collapsing the medial axis is unstable
E.W. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, La Matematica (2025).

Discrete microlocal Morse theory
A. Brown, O. Draganov, Journal of Pure and Applied Algebra 229 (2025).

Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality
M. Mahini, H. Beigy, S. Qadami, M. Saghafian, Information Sciences 719 (2025).

Tight bounds between the Jensen–Shannon divergence and the minmax divergence
A. Akopyan, H. Edelsbrunner, Z. Virk, H. Wagner, Entropy 27 (2025).

On the size of chromatic Delaunay mosaics
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry (2025).

Flips in two-dimensional hypertriangulations
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, M. Saghafian, European Journal of Combinatorics 132 (2025).

Grid peeling of parabolas
G. Rote, M. Rüber, M. Saghafian, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.

Removing popular faces in curve arrangements
P. De Nooijer, S. Terziadis, A. Weinberger, Z. Masárová, T. Mchedlidze, M. Löffler, G. Rote, Journal of Graph Algorithms and Applications 28 (2024) 47–82.

The shape of word embeddings: Quantifying non-isometry with topological data analysis
O. Draganov, S. Skiena, in:, Findings of the Association for Computational Linguistics: EMNLP 2024, Association for Computational Linguistics, 2024, pp. 12080–12099.

Chromatic topological data analysis
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv (n.d.).

Merge trees of periodic filtrations
H. Edelsbrunner, T. Heiss, ArXiv (n.d.).

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.

Maximum Betti numbers of cech complexes
H. Edelsbrunner, J. Pach, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.

Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of euclidean spaces and of Riemannian manifolds
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, p. 11:1-11:19.

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.