Fox J, Pach J, Suk A. Bounded VC-dimension implies the Schur-Erds conjecture. Combinatorica. 2021;41(6):803-813. doi:10.1007/s00493-021-4530-9
LibreCat: https://research-explorer.ista.ac.at/record/15275
DOI: 10.1007/s00493-021-4530-9
arXiv: 1912.02342

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

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

Biswas R, Largeteau-Skapin G, Zrour R, Andres E. Digital objects in rhombic dodecahedron grid. Mathematical Morphology - Theory and Applications. 2020;4(1):143-158. doi:10.1515/mathm-2020-0106
LibreCat: https://research-explorer.ista.ac.at/record/9249
DOI: 10.1515/mathm-2020-0106

Pach J, Tardos G, Tóth G. Crossings between non-homotopic edges. In: 28th International Symposium on Graph Drawing and Network Visualization. Vol 12590. LNCS. Springer Nature; 2020:359-371. doi:10.1007/978-3-030-68766-3_28
LibreCat: https://research-explorer.ista.ac.at/record/9299
DOI: 10.1007/978-3-030-68766-3_28
arXiv: 2006.14908

Edelsbrunner H, Virk Z, Wagner H. Topological data analysis in information space. Journal of Computational Geometry. 2020;11(2):162-182. doi:10.20382/jocg.v11i2a7
LibreCat: https://research-explorer.ista.ac.at/record/9630
DOI: 10.20382/jocg.v11i2a7

Akopyan A, Schwartz R, Tabachnikov S. Billiards in ellipses revisited. European Journal of Mathematics. 2020. doi:10.1007/s40879-020-00426-9
LibreCat: https://research-explorer.ista.ac.at/record/8538
DOI: 10.1007/s40879-020-00426-9
arXiv: 2001.02934

Boissonnat J-D, Wintraecken M. The topological correctness of PL-approximations of isomanifolds. In: 36th International Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.20
LibreCat: https://research-explorer.ista.ac.at/record/7952
DOI: 10.4230/LIPIcs.SoCG.2020.20

Akopyan A, Karasev R. Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures. In: Klartag B, Milman E, eds. Geometric Aspects of Functional Analysis. Vol 2256. LNM. Springer Nature; 2020:1-27. doi:10.1007/978-3-030-36020-7_1
LibreCat: https://research-explorer.ista.ac.at/record/74
DOI: 10.1007/978-3-030-36020-7_1
WoS: 000557689300003
arXiv: 1808.07350

Edelsbrunner H, Nikitenko A. Weighted Poisson–Delaunay mosaics. Theory of Probability and its Applications. 2020;64(4):595-614. doi:10.1137/S0040585X97T989726
LibreCat: https://research-explorer.ista.ac.at/record/7554
DOI: 10.1137/S0040585X97T989726
WoS: 000551393100007
arXiv: 1705.08735

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

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

Pach J. A farewell to Ricky Pollack. Discrete and Computational Geometry. 2020;64:571-574. doi:10.1007/s00454-020-00237-5
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. The application of persistent homology in the analysis of heart rate variability. In: 11th Conference of the European Study Group on Cardiovascular Oscillations: Computation and Modelling in Physiology: New Challenges and Opportunities, . IEEE; 2020. doi:10.1109/ESGCO49734.2020.9158054
LibreCat: https://research-explorer.ista.ac.at/record/8580
DOI: 10.1109/ESGCO49734.2020.9158054
WoS: 000621172600045

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

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

Masárová Z. Reconfiguration problems. 2020. doi:10.15479/AT:ISTA:7944
LibreCat: https://research-explorer.ista.ac.at/record/7944
DOI: 10.15479/AT:ISTA:7944

Osang GF, Rouxel-Labbé M, Teillaud M. Generalizing CGAL periodic Delaunay triangulations. In: 28th Annual European Symposium on Algorithms. Vol 173. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.ESA.2020.75
LibreCat: https://research-explorer.ista.ac.at/record/8703
DOI: 10.4230/LIPIcs.ESA.2020.75

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

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

Akopyan A, Edelsbrunner H. The weighted Gaussian curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. 2020;8(1):74-88. doi:10.1515/cmb-2020-0101
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. cech-Delaunay gradient flow and homology inference for self-maps. Journal of Applied and Computational Topology. 2020;4(4):455-480. doi:10.1007/s41468-020-00058-8
LibreCat: https://research-explorer.ista.ac.at/record/15064
DOI: 10.1007/s41468-020-00058-8

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

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

Edelsbrunner H, Virk Z, Wagner H. Topological data analysis in information space. In: 35th International Symposium on Computational Geometry. Vol 129. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019:31:1-31:14. doi:10.4230/LIPICS.SOCG.2019.31
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, et al. Folding polyominoes with holes into a cube. In: Proceedings of the 31st Canadian Conference on Computational Geometry. Canadian Conference on Computational Geometry; 2019:164-170.
LibreCat: https://research-explorer.ista.ac.at/record/6989
arXiv: 1910.09917

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

Akopyan A, Fedorov R. Two circles and only a straightedge. Proceedings of the American Mathematical Society. 2019;147:91-102. doi:10.1090/proc/14240
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. Lower and upper bounds for the waists of different spaces. Topological Methods in Nonlinear Analysis. 2019;53(2):457-490. doi:10.12775/TMNA.2019.008
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, et al. Unexpected topology of the temperature fluctuations in the cosmic microwave background. Astronomy and Astrophysics. 2019;627. doi:10.1051/0004-6361/201834916
LibreCat: https://research-explorer.ista.ac.at/record/6756
DOI: 10.1051/0004-6361/201834916
WoS: 000475839300003
arXiv: 1812.07678

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

Brown A. Arakawa-Suzuki functors for Whittaker modules. Journal of Algebra. 2019;538:261-289. doi:10.1016/j.jalgebra.2019.07.027
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. LiveTraVeL: Real-time matching of transit vehicle trajectories to transit routes at scale. In: 2019 IEEE Intelligent Transportation Systems Conference. IEEE; 2019. doi:10.1109/ITSC.2019.8917514
LibreCat: https://research-explorer.ista.ac.at/record/7216
DOI: 10.1109/ITSC.2019.8917514
WoS: 000521238102050

Edelsbrunner H, Nikitenko A. Poisson–Delaunay Mosaics of Order k. Discrete and Computational Geometry. 2019;62(4):865–878. doi:10.1007/s00454-018-0049-2
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. Holes and dependences in an ordered complex. Computer Aided Geometric Design. 2019;73:1-15. doi:10.1016/j.cagd.2019.06.003
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, et al. Token swapping on trees. arXiv.
LibreCat: https://research-explorer.ista.ac.at/record/7950
arXiv: 1903.06981

Edelsbrunner H, Virk Z, Wagner H. Smallest enclosing spheres and Chernoff points in Bregman geometry. In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018:35:1-35:13. doi:10.4230/LIPIcs.SoCG.2018.35
LibreCat: https://research-explorer.ista.ac.at/record/188
DOI: 10.4230/LIPIcs.SoCG.2018.35

Iglesias Ham M. Multiple covers with balls. 2018. doi:10.15479/AT:ISTA:th_1026
LibreCat: https://research-explorer.ista.ac.at/record/201
DOI: 10.15479/AT:ISTA:th_1026

Edelsbrunner H, Osang GF. The multi-cover persistence of Euclidean balls. In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018. doi:10.4230/LIPIcs.SoCG.2018.34
LibreCat: https://research-explorer.ista.ac.at/record/187
DOI: 10.4230/LIPIcs.SoCG.2018.34

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

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

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

Akopyan A, Petrunin A. Long geodesics on convex surfaces. Mathematical Intelligencer. 2018;40(3):26-31. doi:10.1007/s00283-018-9795-5
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. Multiple covers with balls I: Inclusion–exclusion. Computational Geometry: Theory and Applications. 2018;68:119-133. doi:10.1016/j.comgeo.2017.06.014
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, et al. On the memory hardness of data independent password hashing functions. In: Proceedings of the 2018 on Asia Conference on Computer and Communication Security. ACM; 2018:51-65. doi:10.1145/3196494.3196534
LibreCat: https://research-explorer.ista.ac.at/record/193
DOI: 10.1145/3196494.3196534
WoS: 000516620100005

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

Akopyan A. On the number of non-hexagons in a planar tiling. Comptes Rendus Mathematique. 2018;356(4):412-414. doi:10.1016/j.crma.2018.03.005
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. Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. 2018;28(5):3215-3238. doi:10.1214/18-AAP1389
LibreCat: https://research-explorer.ista.ac.at/record/87
DOI: 10.1214/18-AAP1389
WoS: 000442893500018
arXiv: 1705.02870

Akopyan A, Avvakumov S. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 2018;6. doi:10.1017/fms.2018.7
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. On the circle covering theorem by A.W. Goodman and R.E. Goodman. Discrete &; Computational Geometry. 2018;59(4):1001-1009. doi:10.1007/s00454-017-9883-x
LibreCat: https://research-explorer.ista.ac.at/record/1064
DOI: 10.1007/s00454-017-9883-x
WoS: 000432205500011