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

Pach J, Reed B, Yuditsky Y. 2020. Almost all string graphs are intersection graphs of plane convex sets. Discrete and Computational Geometry. 63(4), 888–917.
LibreCat: https://research-explorer.ista.ac.at/record/7962
DOI: 10.1007/s00454-020-00213-z
WoS: 000538229000001
arXiv: 1803.06710

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

Graff G, Graff B, Jablonski G, Narkiewicz K. 2020. The application of persistent homology in the analysis of heart rate variability. 11th Conference of the European Study Group on Cardiovascular Oscillations: Computation and Modelling in Physiology: New Challenges and Opportunities, . ESGCO: European Study Group on Cardiovascular Oscillations, 9158054.
LibreCat: https://research-explorer.ista.ac.at/record/8580
DOI: 10.1109/ESGCO49734.2020.9158054
WoS: 000621172600045

Akopyan A, Karasev R. 2020. Waist of balls in hyperbolic and spherical spaces. International Mathematics Research Notices. 2020(3), 669–697.
LibreCat: https://research-explorer.ista.ac.at/record/10867
DOI: 10.1093/imrn/rny037
WoS: 000522852700002
arXiv: 1702.07513

Ölsböck K. 2020. The hole system of triangulated shapes. Institute of Science and Technology Austria.
LibreCat: https://research-explorer.ista.ac.at/record/7460
DOI: 10.15479/AT:ISTA:7460

Masárová Z. 2020. Reconfiguration problems. Institute of Science and Technology Austria.
LibreCat: https://research-explorer.ista.ac.at/record/7944
DOI: 10.15479/AT:ISTA:7944

Osang GF, Rouxel-Labbé M, Teillaud M. 2020. Generalizing CGAL periodic Delaunay triangulations. 28th Annual European Symposium on Algorithms. ESA: Annual European Symposium on Algorithms, LIPIcs, vol. 173, 75.
LibreCat: https://research-explorer.ista.ac.at/record/8703
DOI: 10.4230/LIPIcs.ESA.2020.75

Vegter G, Wintraecken M. 2020. Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes. Studia Scientiarum Mathematicarum Hungarica. 57(2), 193–199.
LibreCat: https://research-explorer.ista.ac.at/record/8163
DOI: 10.1556/012.2020.57.2.1454
WoS: 000570978400005

Akopyan A, Edelsbrunner H. 2020. The weighted mean curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. 8(1), 51–67.
LibreCat: https://research-explorer.ista.ac.at/record/9157
DOI: 10.1515/cmb-2020-0100

Akopyan A, Edelsbrunner H. 2020. The weighted Gaussian curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. 8(1), 74–88.
LibreCat: https://research-explorer.ista.ac.at/record/9156
DOI: 10.1515/cmb-2020-0101
arXiv: 1908.06777

Bauer U, Edelsbrunner H, Jablonski G, Mrozek M. 2020. cech-Delaunay gradient flow and homology inference for self-maps. Journal of Applied and Computational Topology. 4(4), 455–480.
LibreCat: https://research-explorer.ista.ac.at/record/15064
DOI: 10.1007/s41468-020-00058-8

Dyer R, Vegter G, Wintraecken M. 2019. Simplices modelled on spaces of constant curvature. Journal of Computational Geometry . 10(1), 223–256.
LibreCat: https://research-explorer.ista.ac.at/record/6515
DOI: 10.20382/jocg.v10i1a9

Vegter G, Wintraecken M. 2019. The extrinsic nature of the Hausdorff distance of optimal triangulations of manifolds. The 31st Canadian Conference in Computational Geometry. CCCG: Canadian Conference in Computational Geometry, 275–279.
LibreCat: https://research-explorer.ista.ac.at/record/6628

Edelsbrunner H, Virk Z, Wagner H. 2019. Topological data analysis in information space. 35th International Symposium on Computational Geometry. SoCG 2019: Symposium on Computational Geometry, LIPIcs, vol. 129, 31:1-31:14.
LibreCat: https://research-explorer.ista.ac.at/record/6648
DOI: 10.4230/LIPICS.SOCG.2019.31
arXiv: 1903.08510

Aichholzer O, Akitaya HA, Cheung KC, Demaine ED, Demaine ML, Fekete SP, Kleist L, Kostitsyna I, Löffler M, Masárová Z, Mundilova K, Schmidt C. 2019. Folding polyominoes with holes into a cube. Proceedings of the 31st Canadian Conference on Computational Geometry. CCCG: Canadian Conference in Computational Geometry, 164–170.
LibreCat: https://research-explorer.ista.ac.at/record/6989
arXiv: 1910.09917

Boissonnat J-D, Lieutier A, Wintraecken M. 2019. The reach, metric distortion, geodesic convexity and the variation of tangent spaces. Journal of Applied and Computational Topology. 3(1–2), 29–58.
LibreCat: https://research-explorer.ista.ac.at/record/6671
DOI: 10.1007/s41468-019-00029-8

Akopyan A, Fedorov R. 2019. Two circles and only a straightedge. Proceedings of the American Mathematical Society. 147, 91–102.
LibreCat: https://research-explorer.ista.ac.at/record/6050
DOI: 10.1090/proc/14240
WoS: 000450363900008
arXiv: 1709.02562

Akopyan A, Hubard A, Karasev R. 2019. Lower and upper bounds for the waists of different spaces. Topological Methods in Nonlinear Analysis. 53(2), 457–490.
LibreCat: https://research-explorer.ista.ac.at/record/6634
DOI: 10.12775/TMNA.2019.008
WoS: 000472541600004
arXiv: 1612.06926

Pranav P, Adler RJ, Buchert T, Edelsbrunner H, Jones BJT, Schwartzman A, Wagner H, Van De Weygaert R. 2019. Unexpected topology of the temperature fluctuations in the cosmic microwave background. Astronomy and Astrophysics. 627, 3.
LibreCat: https://research-explorer.ista.ac.at/record/6756
DOI: 10.1051/0004-6361/201834916
WoS: 000475839300003
arXiv: 1812.07678

Akopyan A, Izmestiev I. 2019. The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. 51(5), 765–775.
LibreCat: https://research-explorer.ista.ac.at/record/6793
DOI: 10.1112/blms.12276
WoS: 000478560200001
arXiv: 1903.04929

Brown A. 2019. Arakawa-Suzuki functors for Whittaker modules. Journal of Algebra. 538, 261–289.
LibreCat: https://research-explorer.ista.ac.at/record/6828
DOI: 10.1016/j.jalgebra.2019.07.027
WoS: 000487176300011
arXiv: 1805.04676

Osang GF, Cook J, Fabrikant A, Gruteser M. 2019. LiveTraVeL: Real-time matching of transit vehicle trajectories to transit routes at scale. 2019 IEEE Intelligent Transportation Systems Conference. ITSC: Intelligent Transportation Systems Conference, 8917514.
LibreCat: https://research-explorer.ista.ac.at/record/7216
DOI: 10.1109/ITSC.2019.8917514
WoS: 000521238102050

Edelsbrunner H, Nikitenko A. 2019. Poisson–Delaunay Mosaics of Order k. Discrete and Computational Geometry. 62(4), 865–878.
LibreCat: https://research-explorer.ista.ac.at/record/5678
DOI: 10.1007/s00454-018-0049-2
WoS: 000494042900008
arXiv: 1709.09380

Edelsbrunner H, Ölsböck K. 2019. Holes and dependences in an ordered complex. Computer Aided Geometric Design. 73, 1–15.
LibreCat: https://research-explorer.ista.ac.at/record/6608
DOI: 10.1016/j.cagd.2019.06.003
WoS: 000485207800001

Biniaz A, Jain K, Lubiw A, Masárová Z, Miltzow T, Mondal D, Naredla AM, Tkadlec J, Turcotte A. Token swapping on trees. arXiv, 1903.06981.
LibreCat: https://research-explorer.ista.ac.at/record/7950
arXiv: 1903.06981

Edelsbrunner H, Virk Z, Wagner H. 2018. Smallest enclosing spheres and Chernoff points in Bregman geometry. SoCG: Symposium on Computational Geometry, Leibniz International Proceedings in Information, LIPIcs, vol. 99, 35:1-35:13.
LibreCat: https://research-explorer.ista.ac.at/record/188
DOI: 10.4230/LIPIcs.SoCG.2018.35

Iglesias Ham M. 2018. Multiple covers with balls. Institute of Science and Technology Austria.
LibreCat: https://research-explorer.ista.ac.at/record/201
DOI: 10.15479/AT:ISTA:th_1026

Edelsbrunner H, Osang GF. 2018. The multi-cover persistence of Euclidean balls. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 99, 34.
LibreCat: https://research-explorer.ista.ac.at/record/187
DOI: 10.4230/LIPIcs.SoCG.2018.34

Akopyan A. 2018. 3-Webs generated by confocal conics and circles. Geometriae Dedicata. 194(1), 55–64.
LibreCat: https://research-explorer.ista.ac.at/record/692
DOI: 10.1007/s10711-017-0265-6
WoS: 000431418800004

Akopyan A, Segal Halevi E. 2018. Counting blanks in polygonal arrangements. SIAM Journal on Discrete Mathematics. 32(3), 2242–2257.
LibreCat: https://research-explorer.ista.ac.at/record/58
DOI: 10.1137/16M110407X
WoS: 000450810500036
arXiv: 1604.00960

Akopyan A, Bobenko A. 2018. Incircular nets and confocal conics. Transactions of the American Mathematical Society. 370(4), 2825–2854.
LibreCat: https://research-explorer.ista.ac.at/record/458
DOI: 10.1090/tran/7292
WoS: 000423197800019

Akopyan A, Petrunin A. 2018. Long geodesics on convex surfaces. Mathematical Intelligencer. 40(3), 26–31.
LibreCat: https://research-explorer.ista.ac.at/record/106
DOI: 10.1007/s00283-018-9795-5
WoS: 000444141200005
arXiv: 1702.05172

Edelsbrunner H, Iglesias Ham M. 2018. Multiple covers with balls I: Inclusion–exclusion. Computational Geometry: Theory and Applications. 68, 119–133.
LibreCat: https://research-explorer.ista.ac.at/record/530
DOI: 10.1016/j.comgeo.2017.06.014
WoS: 000415778300010

Alwen JF, Gazi P, Kamath Hosdurg C, Klein K, Osang GF, Pietrzak KZ, Reyzin L, Rolinek M, Rybar M. 2018. On the memory hardness of data independent password hashing functions. Proceedings of the 2018 on Asia Conference on Computer and Communication Security. ASIACCS: Asia Conference on Computer and Communications Security , 51–65.
LibreCat: https://research-explorer.ista.ac.at/record/193
DOI: 10.1145/3196494.3196534
WoS: 000516620100005

Edelsbrunner H, Iglesias Ham M. 2018. On the optimality of the FCC lattice for soft sphere packing. SIAM J Discrete Math. 32(1), 750–782.
LibreCat: https://research-explorer.ista.ac.at/record/312
DOI: 10.1137/16M1097201
WoS: 000428958900038

Akopyan A. 2018. On the number of non-hexagons in a planar tiling. Comptes Rendus Mathematique. 356(4), 412–414.
LibreCat: https://research-explorer.ista.ac.at/record/409
DOI: 10.1016/j.crma.2018.03.005
WoS: 000430402700009
arXiv: 1805.01652

Edelsbrunner H, Nikitenko A. 2018. Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. 28(5), 3215–3238.
LibreCat: https://research-explorer.ista.ac.at/record/87
DOI: 10.1214/18-AAP1389
WoS: 000442893500018
arXiv: 1705.02870

Akopyan A, Avvakumov S. 2018. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 6, e7.
LibreCat: https://research-explorer.ista.ac.at/record/6355
DOI: 10.1017/fms.2018.7
WoS: 000433915500001
arXiv: 1712.10205

Akopyan A, Balitskiy A, Grigorev M. 2018. On the circle covering theorem by A.W. Goodman and R.E. Goodman. Discrete &; Computational Geometry. 59(4), 1001–1009.
LibreCat: https://research-explorer.ista.ac.at/record/1064
DOI: 10.1007/s00454-017-9883-x
WoS: 000432205500011

Akopyan A, Avvakumov S, Karasev R. 2018. Convex fair partitions into arbitrary number of pieces. 1804.03057.
LibreCat: https://research-explorer.ista.ac.at/record/75
DOI: 10.48550/arXiv.1804.03057
arXiv: 1804.03057

Biedl T, Huber S, Palfrader P. 2017. Planar matchings for weighted straight skeletons. International Journal of Computational Geometry and Applications. 26(3–4), 211–229.
LibreCat: https://research-explorer.ista.ac.at/record/481
DOI: 10.1142/S0218195916600050

Austin K, Virk Z. 2017. Higson compactification and dimension raising. Topology and its Applications. 215, 45–57.
LibreCat: https://research-explorer.ista.ac.at/record/521
DOI: 10.1016/j.topol.2016.10.005

Franek P, Krcál M. 2017. Persistence of zero sets. Homology, Homotopy and Applications. 19(2), 313–342.
LibreCat: https://research-explorer.ista.ac.at/record/568
DOI: 10.4310/HHA.2017.v19.n2.a16

Biswas R, Bhowmick P. 2017.Construction of persistent Voronoi diagram on 3D digital plane. In: Combinatorial image analysis. LNCS, vol. 10256, 93–104.
LibreCat: https://research-explorer.ista.ac.at/record/5803
DOI: 10.1007/978-3-319-59108-7_8

Edelsbrunner H, Wagner H. 2017. Topological data analysis with Bregman divergences. Symposium on Computational Geometry, SoCG, LIPIcs, vol. 77, 391–3916.
LibreCat: https://research-explorer.ista.ac.at/record/688
DOI: 10.4230/LIPIcs.SoCG.2017.39

Akopyan A, Karasev R. 2017. A tight estimate for the waist of the ball . Bulletin of the London Mathematical Society. 49(4), 690–693.
LibreCat: https://research-explorer.ista.ac.at/record/707
DOI: 10.1112/blms.12062

Edelsbrunner H, Nikitenko A, Reitzner M. 2017. Expected sizes of poisson Delaunay mosaics and their discrete Morse functions. Advances in Applied Probability. 49(3), 745–767.
LibreCat: https://research-explorer.ista.ac.at/record/718
DOI: 10.1017/apr.2017.20
arXiv: 1607.05915

Nikitenko A. 2017. Discrete Morse theory for random complexes . Institute of Science and Technology Austria.
LibreCat: https://research-explorer.ista.ac.at/record/6287
DOI: 10.15479/AT:ISTA:th_873

Bauer U, Kerber M, Reininghaus J, Wagner H. 2017. Phat - Persistent homology algorithms toolbox. Journal of Symbolic Computation. 78, 76–90.
LibreCat: https://research-explorer.ista.ac.at/record/1433
DOI: 10.1016/j.jsc.2016.03.008
WoS: 000384396000005