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arXiv: 1705.08735

Edelsbrunner, Herbert, and Katharina Ölsböck. “Tri-Partitions and Bases of an Ordered Complex.”10.1007/s00454-020-00188-x__Discrete and Computational Geometry, vol. 64, Springer Nature, 2020, pp. 759–75, 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, János, et al. “Almost All String Graphs Are Intersection Graphs of Plane Convex Sets.”10.1007/s00454-020-00213-z__Discrete and Computational Geometry, vol. 63, no. 4, Springer Nature, 2020, pp. 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, János. “A Farewell to Ricky Pollack.”10.1007/s00454-020-00237-5__Discrete and Computational Geometry, vol. 64, Springer Nature, 2020, pp. 571–74, 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, Grzegorz, et al. “The Application of Persistent Homology in the Analysis of Heart Rate Variability.”10.1109/ESGCO49734.2020.9158054__11th Conference of the European Study Group on Cardiovascular Oscillations: Computation and Modelling in Physiology: New Challenges and Opportunities, , 9158054, 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, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and Spherical Spaces.”10.1093/imrn/rny037__International Mathematics Research Notices, vol. 2020, no. 3, Oxford University Press, 2020, pp. 669–97, 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, Katharina. The Hole System of Triangulated Shapes. Institute of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:7460.
LibreCat: https://research-explorer.ista.ac.at/record/7460
DOI: 10.15479/AT:ISTA:7460

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

Osang, Georg F., et al. “Generalizing CGAL Periodic Delaunay Triangulations.”10.4230/LIPIcs.ESA.2020.75__28th Annual European Symposium on Algorithms, vol. 173, 75, 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, Gert, and Mathijs Wintraecken. “Refutation of a Claim Made by Fejes Tóth on the Accuracy of Surface Meshes.”10.1556/012.2020.57.2.1454__Studia Scientiarum Mathematicarum Hungarica, vol. 57, no. 2, Akadémiai Kiadó, 2020, pp. 193–99, 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, Arseniy, and Herbert Edelsbrunner. “The Weighted Mean Curvature Derivative of a Space-Filling Diagram.”10.1515/cmb-2020-0100__Computational and Mathematical Biophysics, vol. 8, no. 1, De Gruyter, 2020, pp. 51–67, doi:10.1515/cmb-2020-0100.
LibreCat: https://research-explorer.ista.ac.at/record/9157
DOI: 10.1515/cmb-2020-0100

Akopyan, Arseniy, and Herbert Edelsbrunner. “The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram.”10.1515/cmb-2020-0101__Computational and Mathematical Biophysics, vol. 8, no. 1, De Gruyter, 2020, pp. 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., et al. “cech-Delaunay Gradient Flow and Homology Inference for Self-Maps.”10.1007/s41468-020-00058-8__Journal of Applied and Computational Topology, vol. 4, no. 4, Springer Nature, 2020, pp. 455–80, doi:10.1007/s41468-020-00058-8.
LibreCat: https://research-explorer.ista.ac.at/record/15064
DOI: 10.1007/s41468-020-00058-8

Dyer, Ramsay, et al. “Simplices Modelled on Spaces of Constant Curvature.”10.20382/jocg.v10i1a9__Journal of Computational Geometry , vol. 10, no. 1, Carleton University, 2019, pp. 223–256, doi:10.20382/jocg.v10i1a9.
LibreCat: https://research-explorer.ista.ac.at/record/6515
DOI: 10.20382/jocg.v10i1a9

Vegter, Gert, and Mathijs Wintraecken. “The Extrinsic Nature of the Hausdorff Distance of Optimal Triangulations of Manifolds.” The 31st Canadian Conference in Computational Geometry, 2019, pp. 275–79.
LibreCat: https://research-explorer.ista.ac.at/record/6628

Edelsbrunner, Herbert, et al. “Topological Data Analysis in Information Space.”10.4230/LIPICS.SOCG.2019.31__35th International Symposium on Computational Geometry, vol. 129, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 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, Oswin, et al. “Folding Polyominoes with Holes into a Cube.” Proceedings of the 31st Canadian Conference on Computational Geometry, Canadian Conference on Computational Geometry, 2019, pp. 164–70.
LibreCat: https://research-explorer.ista.ac.at/record/6989
arXiv: 1910.09917

Boissonnat, Jean-Daniel, et al. “The Reach, Metric Distortion, Geodesic Convexity and the Variation of Tangent Spaces.”10.1007/s41468-019-00029-8__Journal of Applied and Computational Topology, vol. 3, no. 1–2, Springer Nature, 2019, pp. 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, Arseniy, and Roman Fedorov. “Two Circles and Only a Straightedge.”10.1090/proc/14240__Proceedings of the American Mathematical Society, vol. 147, AMS, 2019, pp. 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, Arseniy, et al. “Lower and Upper Bounds for the Waists of Different Spaces.”10.12775/TMNA.2019.008__Topological Methods in Nonlinear Analysis, vol. 53, no. 2, Akademicka Platforma Czasopism, 2019, pp. 457–90, 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, Pratyush, et al. “Unexpected Topology of the Temperature Fluctuations in the Cosmic Microwave Background.”10.1051/0004-6361/201834916__Astronomy and Astrophysics, vol. 627, 3, EDP Sciences, 2019, 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, Arseniy, and Ivan Izmestiev. “The Regge Symmetry, Confocal Conics, and the Schläfli Formula.”10.1112/blms.12276__Bulletin of the London Mathematical Society, vol. 51, no. 5, London Mathematical Society, 2019, pp. 765–75, 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, Adam. “Arakawa-Suzuki Functors for Whittaker Modules.”10.1016/j.jalgebra.2019.07.027__Journal of Algebra, vol. 538, Elsevier, 2019, pp. 261–89, 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, Georg F., et al. “LiveTraVeL: Real-Time Matching of Transit Vehicle Trajectories to Transit Routes at Scale.”10.1109/ITSC.2019.8917514__2019 IEEE Intelligent Transportation Systems Conference, 8917514, 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, Herbert, and Anton Nikitenko. “Poisson–Delaunay Mosaics of Order K.”10.1007/s00454-018-0049-2__Discrete and Computational Geometry, vol. 62, no. 4, Springer, 2019, pp. 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, Herbert, and Katharina Ölsböck. “Holes and Dependences in an Ordered Complex.”10.1016/j.cagd.2019.06.003__Computer Aided Geometric Design, vol. 73, Elsevier, 2019, pp. 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, Ahmad, et al. “Token Swapping on Trees.” ArXiv, 1903.06981.
LibreCat: https://research-explorer.ista.ac.at/record/7950
arXiv: 1903.06981

Edelsbrunner, Herbert, et al. Smallest Enclosing Spheres and Chernoff Points in Bregman Geometry. Vol. 99, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 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, Mabel. Multiple Covers with Balls. Institute of Science and Technology Austria, 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, Herbert, and Georg F. Osang. The Multi-Cover Persistence of Euclidean Balls. Vol. 99, 34, 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, Arseniy. “-Webs Generated by Confocal Conics and Circles.”10.1007/s10711-017-0265-6__Geometriae Dedicata, vol. 194, no. 1, Springer, 2018, pp. 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, Arseniy, and Erel Segal Halevi. “Counting Blanks in Polygonal Arrangements.”10.1137/16M110407X__SIAM Journal on Discrete Mathematics, vol. 32, no. 3, Society for Industrial and Applied Mathematics , 2018, pp. 2242–57, doi:10.1137/16M110407X.
LibreCat: https://research-explorer.ista.ac.at/record/58
DOI: 10.1137/16M110407X
WoS: 000450810500036
arXiv: 1604.00960

Akopyan, Arseniy, and Alexander Bobenko. “Incircular Nets and Confocal Conics.”10.1090/tran/7292__Transactions of the American Mathematical Society, vol. 370, no. 4, American Mathematical Society, 2018, pp. 2825–54, doi:10.1090/tran/7292.
LibreCat: https://research-explorer.ista.ac.at/record/458
DOI: 10.1090/tran/7292
WoS: 000423197800019

Akopyan, Arseniy, and Anton Petrunin. “Long Geodesics on Convex Surfaces.”10.1007/s00283-018-9795-5__Mathematical Intelligencer, vol. 40, no. 3, Springer, 2018, pp. 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, Herbert, and Mabel Iglesias Ham. “Multiple Covers with Balls I: Inclusion–Exclusion.”10.1016/j.comgeo.2017.06.014__Computational Geometry: Theory and Applications, vol. 68, Elsevier, 2018, pp. 119–33, 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, Joel F., et al. “On the Memory Hardness of Data Independent Password Hashing Functions.”10.1145/3196494.3196534__Proceedings of the 2018 on Asia Conference on Computer and Communication Security, ACM, 2018, pp. 51–65, doi:10.1145/3196494.3196534.
LibreCat: https://research-explorer.ista.ac.at/record/193
DOI: 10.1145/3196494.3196534
WoS: 000516620100005

Edelsbrunner, Herbert, and Mabel Iglesias Ham. “On the Optimality of the FCC Lattice for Soft Sphere Packing.”10.1137/16M1097201__SIAM J Discrete Math, vol. 32, no. 1, Society for Industrial and Applied Mathematics , 2018, pp. 750–82, doi:10.1137/16M1097201.
LibreCat: https://research-explorer.ista.ac.at/record/312
DOI: 10.1137/16M1097201
WoS: 000428958900038

Akopyan, Arseniy. “On the Number of Non-Hexagons in a Planar Tiling.”10.1016/j.crma.2018.03.005__Comptes Rendus Mathematique, vol. 356, no. 4, Elsevier, 2018, pp. 412–14, 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, Herbert, and Anton Nikitenko. “Random Inscribed Polytopes Have Similar Radius Functions as Poisson-Delaunay Mosaics.”10.1214/18-AAP1389__Annals of Applied Probability, vol. 28, no. 5, Institute of Mathematical Statistics, 2018, pp. 3215–38, 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, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.”10.1017/fms.2018.7__Forum of Mathematics, Sigma, vol. 6, e7, Cambridge University Press, 2018, 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