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

Akopyan A, Bárány I, Robins S. 2017. Algebraic vertices of non-convex polyhedra. Advances in Mathematics. 308, 627–644.
LibreCat: https://research-explorer.ista.ac.at/record/1180
DOI: 10.1016/j.aim.2016.12.026
WoS: 000409292900015

Edelsbrunner H, Glazyrin A, Musin O, Nikitenko A. 2017. The Voronoi functional is maximized by the Delaunay triangulation in the plane. Combinatorica. 37(5), 887–910.
LibreCat: https://research-explorer.ista.ac.at/record/1173
DOI: 10.1007/s00493-016-3308-y
WoS: 000418056000005

Bauer U, Edelsbrunner H. 2017. The Morse theory of cech and delaunay complexes. Transactions of the American Mathematical Society. 369(5), 3741–3762.
LibreCat: https://research-explorer.ista.ac.at/record/1072
DOI: 10.1090/tran/6991
WoS: 000398030400024
arXiv: 1312.1231

Chatterjee K, Osang GF. 2017. Pushdown reachability with constant treewidth. Information Processing Letters. 122, 25–29.
LibreCat: https://research-explorer.ista.ac.at/record/1065
DOI: 10.1016/j.ipl.2017.02.003
WoS: 000399506600005

Pranav P, Edelsbrunner H, Van De Weygaert R, Vegter G, Kerber M, Jones B, Wintraecken M. 2017. The topology of the cosmic web in terms of persistent Betti numbers. Monthly Notices of the Royal Astronomical Society. 465(4), 4281–4310.
LibreCat: https://research-explorer.ista.ac.at/record/1022
DOI: 10.1093/mnras/stw2862
WoS: 000395170200039

Virk Z, Zastrow A. 2017. A new topology on the universal path space. Topology and its Applications. 231, 186–196.
LibreCat: https://research-explorer.ista.ac.at/record/737
DOI: 10.1016/j.topol.2017.09.015
WoS: 000413889100012

Ethier M, Jablonski G, Mrozek M. 2017. Finding eigenvalues of self-maps with the Kronecker canonical form. Special Sessions in Applications of Computer Algebra. ACA: Applications of Computer Algebra, PROMS, vol. 198, 119–136.
LibreCat: https://research-explorer.ista.ac.at/record/836
DOI: 10.1007/978-3-319-56932-1_8
WoS: 000434088200008

Heiss T, Wagner H. 2017. Streaming algorithm for Euler characteristic curves of multidimensional images. CAIP: Computer Analysis of Images and Patterns, LNCS, vol. 10424, 397–409.
LibreCat: https://research-explorer.ista.ac.at/record/833
DOI: 10.1007/978-3-319-64689-3_32
WoS: 000432085900032

Edelsbrunner H, Koehl P. 2017.Computational topology for structural molecular biology. In: Handbook of Discrete and Computational Geometry, Third Edition. , 1709–1735.
LibreCat: https://research-explorer.ista.ac.at/record/84
DOI: 10.1201/9781315119601

Akopyan A, Vysotsky V. 2017. On the lengths of curves passing through boundary points of a planar convex shape. The American Mathematical Monthly. 124(7), 588–596.
LibreCat: https://research-explorer.ista.ac.at/record/909
DOI: 10.4169/amer.math.monthly.124.7.588
WoS: 000413947300002
arXiv: 1605.07997

Miyaji T, Pilarczyk P, Gameiro M, Kokubu H, Mischaikow K. 2016. A study of rigorous ODE integrators for multi scale set oriented computations. Applied Numerical Mathematics. 107, 34–47.
LibreCat: https://research-explorer.ista.ac.at/record/1149
DOI: 10.1016/j.apnum.2016.04.005

Kasten J, Reininghaus J, Hotz I, Hege H, Noack B, Daviller G, Morzyski M. 2016. Acceleration feature points of unsteady shear flows. Archives of Mechanics. 68(1), 55–80.
LibreCat: https://research-explorer.ista.ac.at/record/1216

Musin O, Nikitenko A. 2016. Optimal packings of congruent circles on a square flat torus. Discrete &; Computational Geometry. 55(1), 1–20.
LibreCat: https://research-explorer.ista.ac.at/record/1222
DOI: 10.1007/s00454-015-9742-6

Krcál M, Pilarczyk P. 2016. Computation of cubical Steenrod squares. CTIC: Computational Topology in Image Context, LNCS, vol. 9667, 140–151.
LibreCat: https://research-explorer.ista.ac.at/record/1237
DOI: 10.1007/978-3-319-39441-1_13

Harker S, Kokubu H, Mischaikow K, Pilarczyk P. 2016. Inducing a map on homology from a correspondence. Proceedings of the American Mathematical Society. 144(4), 1787–1801.
LibreCat: https://research-explorer.ista.ac.at/record/1252
DOI: 10.1090/proc/12812
arXiv: 1411.7563

Golmakani A, Luzzatto S, Pilarczyk P. 2016. Uniform expansivity outside a critical neighborhood in the quadratic family. Experimental Mathematics. 25(2), 116–124.
LibreCat: https://research-explorer.ista.ac.at/record/1254
DOI: 10.1080/10586458.2015.1048011

Held M, Huber S, Palfrader P. 2016. Generalized offsetting of planar structures using skeletons. Computer-Aided Design and Applications. 13(5), 712–721.
LibreCat: https://research-explorer.ista.ac.at/record/1272
DOI: 10.1080/16864360.2016.1150718

Edelsbrunner H, Iglesias Ham M. 2016. Multiple covers with balls II: Weighted averages. Electronic Notes in Discrete Mathematics. 54, 169–174.
LibreCat: https://research-explorer.ista.ac.at/record/1295
DOI: 10.1016/j.endm.2016.09.030

Durst S, Kegel M, Klukas MD. 2016. Computing the Thurston–Bennequin invariant in open books. Acta Mathematica Hungarica. 150(2), 441–455.
LibreCat: https://research-explorer.ista.ac.at/record/1292
DOI: 10.1007/s10474-016-0648-4

Akopyan A, Balitskiy A. 2016. Billiards in convex bodies with acute angles. Israel Journal of Mathematics. 216(2), 833–845.
LibreCat: https://research-explorer.ista.ac.at/record/1330
DOI: 10.1007/s11856-016-1429-z

Akopyan A, Balitskiy A, Karasev R, Sharipova A. 2016. Elementary approach to closed billiard trajectories in asymmetric normed spaces. Proceedings of the American Mathematical Society. 144(10), 4501–4513.
LibreCat: https://research-explorer.ista.ac.at/record/1360
DOI: 10.1090/proc/13062

Franek P, Krcál M. 2016. On computability and triviality of well groups. Discrete &; Computational Geometry. 56(1), 126–164.
LibreCat: https://research-explorer.ista.ac.at/record/1408
DOI: 10.1007/s00454-016-9794-2

Dunaeva O, Edelsbrunner H, Lukyanov A, Machin M, Malkova D, Kuvaev R, Kashin S. 2016. The classification of endoscopy images with persistent homology. Pattern Recognition Letters. 83(1), 13–22.
LibreCat: https://research-explorer.ista.ac.at/record/1289
DOI: 10.1016/j.patrec.2015.12.012

Pausinger F, Steinerberger S. 2016. On the discrepancy of jittered sampling. Journal of Complexity. 33, 199–216.
LibreCat: https://research-explorer.ista.ac.at/record/1617
DOI: 10.1016/j.jco.2015.11.003

Biswas R, Bhowmick P. 2016. On functionality of quadraginta octants of naive sphere with application to circle drawing. Discrete Geometry for Computer Imagery. DGCI: International Conference on Discrete Geometry for Computer Imagery, LNCS, vol. 9647, 256–267.
LibreCat: https://research-explorer.ista.ac.at/record/5806
DOI: 10.1007/978-3-319-32360-2_20

Sen N, Biswas R, Bhowmick P. 2016.On some local topological properties of naive discrete sphere. In: Computational Topology in Image Context. LNCS, vol. 9667, 253–264.
LibreCat: https://research-explorer.ista.ac.at/record/5805
DOI: 10.1007/978-3-319-39441-1_23

Biswas R, Bhowmick P, Brimkov VE. 2016.On the connectivity and smoothness of discrete spherical circles. In: Combinatorial image analysis. vol. 9448, 86–100.
LibreCat: https://research-explorer.ista.ac.at/record/5809
DOI: 10.1007/978-3-319-26145-4_7

Edelsbrunner H, Pausinger F. 2016. Approximation and convergence of the intrinsic volume. Advances in Mathematics. 287, 674–703.
LibreCat: https://research-explorer.ista.ac.at/record/1662
DOI: 10.1016/j.aim.2015.10.004

Kwitt R, Huber S, Niethammer M, Lin W, Bauer U. 2015. Statistical topological data analysis-A kernel perspective. NIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, vol. 28, 3070–3078.
LibreCat: https://research-explorer.ista.ac.at/record/1424

Reininghaus J, Huber S, Bauer U, Kwitt R. 2015. A stable multi-scale kernel for topological machine learning. CVPR: Computer Vision and Pattern Recognition, 4741–4748.
LibreCat: https://research-explorer.ista.ac.at/record/1483
DOI: 10.1109/CVPR.2015.7299106

Edelsbrunner H, Iglesias Ham M, Kurlin V. 2015. Relaxed disk packing. Proceedings of the 27th Canadian Conference on Computational Geometry. CCCG: Canadian Conference on Computational Geometry vol. 2015–August, 128–135.
LibreCat: https://research-explorer.ista.ac.at/record/1495

Franek P, Krcál M. 2015. On computability and triviality of well groups. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 34, 842–856.
LibreCat: https://research-explorer.ista.ac.at/record/1510
DOI: 10.4230/LIPIcs.SOCG.2015.842

Zobel V, Reininghaus J, Hotz I. 2015.Visualizing symmetric indefinite 2D tensor fields using The Heat Kernel Signature. In: Visualization and Processing of Higher Order Descriptors for Multi-Valued Data. Mathematics and Visualization, vol. 40, 257–267.
LibreCat: https://research-explorer.ista.ac.at/record/1531
DOI: 10.1007/978-3-319-15090-1_13

Knipl D, Pilarczyk P, Röst G. 2015. Rich bifurcation structure in a two patch vaccination model. SIAM Journal on Applied Dynamical Systems. 14(2), 980–1017.
LibreCat: https://research-explorer.ista.ac.at/record/1555
DOI: 10.1137/140993934

Dunaeva O, Edelsbrunner H, Lukyanov A, Machin M, Malkova D. 2015. The classification of endoscopy images with persistent homology. Proceedings - 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. SYNASC: Symbolic and Numeric Algorithms for Scientific Computing, 7034731.
LibreCat: https://research-explorer.ista.ac.at/record/1568
DOI: 10.1109/SYNASC.2014.81