S. Cultrera di Montesano, H. Edelsbrunner, M. H. Henzinger, and L. Ost, “Dynamically maintaining the persistent homology of time series,” in Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Alexandria, VA, USA, 2024, pp. 243–295.
LibreCat: https://research-explorer.ista.ac.at/record/15093
DOI: 10.1137/1.9781611977912.11
arXiv: 2311.01115

S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” arXiv. .
LibreCat: https://research-explorer.ista.ac.at/record/15091
arXiv: 2212.03128

H. Edelsbrunner and G. F. Osang, “A simple algorithm for higher-order Delaunay mosaics and alpha shapes,” Algorithmica, vol. 85. Springer Nature, pp. 277–295, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/12086
DOI: 10.1007/s00453-022-01027-6
WoS: 000846967100001

P. Koehl, A. Akopyan, and H. Edelsbrunner, “Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives,” Journal of Chemical Information and Modeling, vol. 63, no. 3. American Chemical Society, pp. 973–985, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/12544
DOI: 10.1021/acs.jcim.2c01346
WoS: 000920370700001
PMID: 36638318

H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “On angles in higher order Brillouin tessellations and related tilings in the plane,” Discrete and Computational Geometry. Springer Nature, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/14345
DOI: 10.1007/s00454-023-00566-1
WoS: 001060727600004
arXiv: 2204.01076

R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Geometric characterization of the persistence of 1D maps,” Journal of Applied and Computational Topology. Springer Nature, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/13182
DOI: 10.1007/s41468-023-00126-9

R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics,” Discrete and Computational Geometry, vol. 67. Springer Nature, pp. 811–842, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/10773
DOI: 10.1007/s00454-022-00371-2
WoS: 000752175300002

R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs,” LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
LibreCat: https://research-explorer.ista.ac.at/record/11660

R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth in arrangements: Dehn–Sommerville–Euler relations with applications,” Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz Zentrum für Informatik.
LibreCat: https://research-explorer.ista.ac.at/record/11658

R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” arXiv. .
LibreCat: https://research-explorer.ista.ac.at/record/15090
arXiv: 2212.03121

H. Edelsbrunner, A. Nikitenko, and G. F. Osang, “A step in the Delaunay mosaic of order k,” Journal of Geometry, vol. 112, no. 1. Springer Nature, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9465
DOI: 10.1007/s00022-021-00577-4

H. Edelsbrunner, T. Heiss, V.  Kurlin , P. Smith, and M. Wintraecken, “The density fingerprint of a periodic point set,” in 37th International Symposium on Computational Geometry (SoCG 2021), Virtual, 2021, vol. 189, p. 32:1-32:16.
LibreCat: https://research-explorer.ista.ac.at/record/9345
DOI: 10.4230/LIPIcs.SoCG.2021.32

R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Counting cells of order-k voronoi tessellations in d<sup>3</sup> with morse theory,” in Leibniz International Proceedings in Informatics, Online, 2021, vol. 189.
LibreCat: https://research-explorer.ista.ac.at/record/9604
DOI: 10.4230/LIPIcs.SoCG.2021.16

H. Edelsbrunner and G. F. Osang, “The multi-cover persistence of Euclidean balls,” Discrete and Computational Geometry, vol. 65. Springer Nature, pp. 1296–1313, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9317
DOI: 10.1007/s00454-021-00281-9
WoS: 000635460400001

A. Akopyan, H. Edelsbrunner, and A. Nikitenko, “The beauty of random polytopes inscribed in the 2-sphere,” Experimental Mathematics. Taylor and Francis, pp. 1–15, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/10222
DOI: 10.1080/10586458.2021.1980459
WoS: 000710893500001
arXiv: 2007.07783

G. F. Osang, H. Edelsbrunner, and M. Saadatfar, “Topological signatures and stability of hexagonal close packing and Barlow stackings,” Soft Matter, vol. 17, no. 40. Royal Society of Chemistry , pp. 9107–9115, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/10204
DOI: 10.1039/d1sm00774b
WoS: 000700090000001
PMID: 34569592

H. Edelsbrunner, A. Nikitenko, K. Ölsböck, and P. Synak, “Radius functions on Poisson–Delaunay mosaics and related complexes experimentally,” in Topological Data Analysis, 2020, vol. 15, pp. 181–218.
LibreCat: https://research-explorer.ista.ac.at/record/8135
DOI: 10.1007/978-3-030-43408-3_8

H. Edelsbrunner, Z. Virk, and H. Wagner, “Topological data analysis in information space,” Journal of Computational Geometry, vol. 11, no. 2. Carleton University, pp. 162–182, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/9630
DOI: 10.20382/jocg.v11i2a7

H. Edelsbrunner and A. Nikitenko, “Weighted Poisson–Delaunay mosaics,” Theory of Probability and its Applications, vol. 64, no. 4. SIAM, pp. 595–614, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7554
DOI: 10.1137/S0040585X97T989726
WoS: 000551393100007
arXiv: 1705.08735

H. Edelsbrunner and K. Ölsböck, “Tri-partitions and bases of an ordered complex,” Discrete and Computational Geometry, vol. 64. Springer Nature, pp. 759–775, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7666
DOI: 10.1007/s00454-020-00188-x
WoS: 000520918800001