Cultrera di Montesano, S., Edelsbrunner, H., Henzinger, M. H., &; Ost, L. (2024). Dynamically maintaining the persistent homology of time series. In D. P. Woodruff (Ed.), Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA) (pp. 243–295). Alexandria, VA, USA: Society for Industrial and Applied Mathematics.https://doi.org/10.1137/1.9781611977912.11 

Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., &; Saghafian, M. (n.d.). Chromatic alpha complexes. arXiv.

Edelsbrunner, H., &; Osang, G. F. (2023). A simple algorithm for higher-order Delaunay mosaics and alpha shapes. Algorithmica. Springer Nature.https://doi.org/10.1007/s00453-022-01027-6 

Koehl, P., Akopyan, A., &; Edelsbrunner, H. (2023). Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives. Journal of Chemical Information and Modeling. American Chemical Society.https://doi.org/10.1021/acs.jcim.2c01346 

Edelsbrunner, H., Garber, A., Ghafari, M., Heiss, T., &; Saghafian, M. (2023). On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. Springer Nature.https://doi.org/10.1007/s00454-023-00566-1 

Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., &; Saghafian, M. (2023). Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology. Springer Nature.https://doi.org/10.1007/s41468-023-00126-9 

Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., &; Saghafian, M. (2022). Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. Springer Nature.https://doi.org/10.1007/s00454-022-00371-2 

Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., &; Saghafian, M. (n.d.). A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.

Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., &; Saghafian, M. (n.d.). Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz Zentrum für Informatik.

Biswas, R., Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., &; Saghafian, M. (n.d.). On the size of chromatic Delaunay mosaics. arXiv.

Edelsbrunner, H., Nikitenko, A., &; Osang, G. F. (2021). A step in the Delaunay mosaic of order k. Journal of Geometry. Springer Nature.https://doi.org/10.1007/s00022-021-00577-4 

Edelsbrunner, H., Heiss, T.,https://doi.org/10.4230/LIPIcs.SoCG.2021.32__Kurlin , V., Smith, P., &; Wintraecken, M. (2021). The density fingerprint of a periodic point set. In 37th International Symposium on Computational Geometry (SoCG 2021) (Vol. 189, p. 32:1-32:16). Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.https://doi.org/10.4230/LIPIcs.SoCG.2021.32 

Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., &; Saghafian, M. (2021). Counting cells of order-k voronoi tessellations in d<sup>3</sup> with morse theory. In Leibniz International Proceedings in Informatics (Vol. 189). Online: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.https://doi.org/10.4230/LIPIcs.SoCG.2021.16 

Edelsbrunner, H., &; Osang, G. F. (2021). The multi-cover persistence of Euclidean balls. Discrete and Computational Geometry. Springer Nature.https://doi.org/10.1007/s00454-021-00281-9 

Akopyan, A., Edelsbrunner, H., &; Nikitenko, A. (2021). The beauty of random polytopes inscribed in the 2-sphere. Experimental Mathematics. Taylor and Francis.https://doi.org/10.1080/10586458.2021.1980459 

Osang, G. F., Edelsbrunner, H., &; Saadatfar, M. (2021). Topological signatures and stability of hexagonal close packing and Barlow stackings. Soft Matter. Royal Society of Chemistry .https://doi.org/10.1039/d1sm00774b 

Edelsbrunner, H., Nikitenko, A., Ölsböck, K., &; Synak, P. (2020). Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. In Topological Data Analysis (Vol. 15, pp. 181–218). Springer Nature.https://doi.org/10.1007/978-3-030-43408-3_8 

Edelsbrunner, H., Virk, Z., &; Wagner, H. (2020). Topological data analysis in information space. Journal of Computational Geometry. Carleton University.https://doi.org/10.20382/jocg.v11i2a7 

Edelsbrunner, H., &; Nikitenko, A. (2020). Weighted Poisson–Delaunay mosaics. Theory of Probability and Its Applications. SIAM.https://doi.org/10.1137/S0040585X97T989726 

Edelsbrunner, H., &; Ölsböck, K. (2020). Tri-partitions and bases of an ordered complex. Discrete and Computational Geometry. Springer Nature.https://doi.org/10.1007/s00454-020-00188-x