Multi-cover persistence and Delaunay mosaics
G.F. Osang, Multi-Cover Persistence and Delaunay Mosaics, Institute of Science and Technology Austria, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9056
DOI: 10.15479/AT:ISTA:9056

Topological signatures and stability of hexagonal close packing and Barlow stackings
G.F. Osang, H. Edelsbrunner, M. Saadatfar, Soft Matter 17 (2021) 9107–9115.
LibreCat: https://research-explorer.ista.ac.at/record/10204
DOI: 10.1039/d1sm00774b
WoS: 000700090000001
PMID: 34569592

Computing the multicover bifiltration
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, in:, Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9605
DOI: 10.4230/LIPIcs.SoCG.2021.27
arXiv: 2103.07823

Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations
J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, in:, 37th International Symposium on Computational Geometry (SoCG 2021), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2021, p. 17:1-17:16.
LibreCat: https://research-explorer.ista.ac.at/record/9441
DOI: 10.4230/LIPIcs.SoCG.2021.17

On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs
A. Akopyan, A.I. Bobenko, W.K. Schief, J. Techter, Discrete and Computational Geometry 66 (2021) 938–976.
LibreCat: https://research-explorer.ista.ac.at/record/8338
DOI: 10.1007/s00454-020-00240-w
WoS: 000564488500002
arXiv: 1908.00856

Local conditions for triangulating submanifolds of Euclidean space
J.-D. Boissonnat, R. Dyer, A. Ghosh, A. Lieutier, M. Wintraecken, Discrete and Computational Geometry 66 (2021) 666–686.
LibreCat: https://research-explorer.ista.ac.at/record/8248
DOI: 10.1007/s00454-020-00233-9
WoS: 000558119300001

Sheaf-theoretic stratification learning from geometric and topological perspectives
A. Brown, B. Wang, Discrete and Computational Geometry 65 (2021) 1166–1198.
LibreCat: https://research-explorer.ista.ac.at/record/7905
DOI: 10.1007/s00454-020-00206-y
WoS: 000536324700001
arXiv: 1712.07734

Bounded VC-dimension implies the Schur-Erds conjecture
J. Fox, J. Pach, A. Suk, Combinatorica 41 (2021) 803–813.
LibreCat: https://research-explorer.ista.ac.at/record/15275
DOI: 10.1007/s00493-021-4530-9
arXiv: 1912.02342

Coxeter triangulations have good quality
A. Choudhary, S. Kachanovich, M. Wintraecken, Mathematics in Computer Science 14 (2020) 141–176.
LibreCat: https://research-explorer.ista.ac.at/record/7567
DOI: 10.1007/s11786-020-00461-5

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

Digital objects in rhombic dodecahedron grid
R. Biswas, G. Largeteau-Skapin, R. Zrour, E. Andres, Mathematical Morphology - Theory and Applications 4 (2020) 143–158.
LibreCat: https://research-explorer.ista.ac.at/record/9249
DOI: 10.1515/mathm-2020-0106

Crossings between non-homotopic edges
J. Pach, G. Tardos, G. Tóth, in:, 28th International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2020, pp. 359–371.
LibreCat: https://research-explorer.ista.ac.at/record/9299
DOI: 10.1007/978-3-030-68766-3_28
arXiv: 2006.14908

Topological data analysis in information space
H. Edelsbrunner, Z. Virk, H. Wagner, Journal of Computational Geometry 11 (2020) 162–182.
LibreCat: https://research-explorer.ista.ac.at/record/9630
DOI: 10.20382/jocg.v11i2a7

The topological correctness of PL-approximations of isomanifolds
J.-D. Boissonnat, M. Wintraecken, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7952
DOI: 10.4230/LIPIcs.SoCG.2020.20

Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures
A. Akopyan, R. Karasev, in:, B. Klartag, E. Milman (Eds.), Geometric Aspects of Functional Analysis, Springer Nature, 2020, pp. 1–27.
LibreCat: https://research-explorer.ista.ac.at/record/74
DOI: 10.1007/978-3-030-36020-7_1
WoS: 000557689300003
arXiv: 1808.07350

Weighted Poisson–Delaunay mosaics
H. Edelsbrunner, A. Nikitenko, Theory of Probability and Its Applications 64 (2020) 595–614.
LibreCat: https://research-explorer.ista.ac.at/record/7554
DOI: 10.1137/S0040585X97T989726
WoS: 000551393100007
arXiv: 1705.08735

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

Almost all string graphs are intersection graphs of plane convex sets
J. Pach, B. Reed, Y. Yuditsky, Discrete and Computational Geometry 63 (2020) 888–917.
LibreCat: https://research-explorer.ista.ac.at/record/7962
DOI: 10.1007/s00454-020-00213-z
WoS: 000538229000001
arXiv: 1803.06710

A farewell to Ricky Pollack
J. Pach, Discrete and Computational Geometry 64 (2020) 571–574.
LibreCat: https://research-explorer.ista.ac.at/record/8323
DOI: 10.1007/s00454-020-00237-5
WoS: 000561483500001

The application of persistent homology in the analysis of heart rate variability
G. Graff, B. Graff, G. Jablonski, K. Narkiewicz, in:, 11th Conference of the European Study Group on Cardiovascular Oscillations: Computation and Modelling in Physiology: New Challenges and Opportunities, , IEEE, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/8580
DOI: 10.1109/ESGCO49734.2020.9158054
WoS: 000621172600045