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175 Publications
2018 | Journal Article | IST-REx-ID: 692 | 
Akopyan A. 2018. 3-Webs generated by confocal conics and circles. Geometriae Dedicata. 194(1), 55–64.
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2018 | Journal Article | IST-REx-ID: 87 |
Edelsbrunner H, Nikitenko A. 2018. Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. 28(5), 3215–3238.
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2017 | Journal Article | IST-REx-ID: 521 |
Austin K, Virk Z. 2017. Higson compactification and dimension raising. Topology and its Applications. 215, 45–57.
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2017 | Journal Article | IST-REx-ID: 1022 |
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.
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2017 | Journal Article | IST-REx-ID: 1065 |
Chatterjee K, Osang GF. 2017. Pushdown reachability with constant treewidth. Information Processing Letters. 122, 25–29.
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2017 | Journal Article | IST-REx-ID: 1072 |
Bauer U, Edelsbrunner H. 2017. The Morse theory of Čech and delaunay complexes. Transactions of the American Mathematical Society. 369(5), 3741–3762.
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2017 | Journal Article | IST-REx-ID: 1173 |
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.
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2017 | Journal Article | IST-REx-ID: 1180 |
Akopyan A, Bárány I, Robins S. 2017. Algebraic vertices of non-convex polyhedra. Advances in Mathematics. 308, 627–644.
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2017 | Journal Article | IST-REx-ID: 481 |
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.
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2017 | Journal Article | IST-REx-ID: 568 |
Franek P, Krcál M. 2017. Persistence of zero sets. Homology, Homotopy and Applications. 19(2), 313–342.
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2017 | Conference Paper | IST-REx-ID: 688 |
Edelsbrunner H, Wagner H. 2017. Topological data analysis with Bregman divergences. Symposium on Computational Geometry, SoCG, LIPIcs, vol. 77. 391–3916.
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2017 | Journal Article | IST-REx-ID: 718 |
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.
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2017 | Journal Article | IST-REx-ID: 707 |
Akopyan A, Karasev R. 2017. A tight estimate for the waist of the ball . Bulletin of the London Mathematical Society. 49(4), 690–693.
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2017 | Conference Paper | IST-REx-ID: 833 |
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.
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2017 | Journal Article | IST-REx-ID: 909 |
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.
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2017 | Thesis | IST-REx-ID: 6287 |
Nikitenko A. 2017. Discrete Morse theory for random complexes , IST Austria, 86p.
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2016 | Journal Article | IST-REx-ID: 1216 |
Kasten J, Reininghaus J, Hotz I, Hege H, Noack B, Daviller G, Morzyński M. 2016. Acceleration feature points of unsteady shear flows. Archives of Mechanics. 68(1), 55–80.
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2016 | Journal Article | IST-REx-ID: 1222 |
Musin O, Nikitenko A. 2016. Optimal packings of congruent circles on a square flat torus. Discrete & Computational Geometry. 55(1), 1–20.
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2016 | Journal Article | IST-REx-ID: 1330 |
Akopyan A, Balitskiy A. 2016. Billiards in convex bodies with acute angles. Israel Journal of Mathematics. 216(2), 833–845.
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2016 | Journal Article | IST-REx-ID: 1360 |
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.
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2016 | Journal Article | IST-REx-ID: 1289 |
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.
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2016 | Journal Article | IST-REx-ID: 1617 |
Pausinger F, Steinerberger S. 2016. On the discrepancy of jittered sampling. Journal of Complexity. 33, 199–216.
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2016 | Journal Article | IST-REx-ID: 1252 |
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.
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| arXiv
2016 | Journal Article | IST-REx-ID: 1254 |
Golmakani A, Luzzatto S, Pilarczyk P. 2016. Uniform expansivity outside a critical neighborhood in the quadratic family. Experimental Mathematics. 25(2), 116–124.
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2016 | Journal Article | IST-REx-ID: 1272 |
Held M, Huber S, Palfrader P. 2016. Generalized offsetting of planar structures using skeletons. Computer-Aided Design and Applications. 13(5), 712–721.
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2016 | Journal Article | IST-REx-ID: 1292 |
Durst S, Kegel M, Klukas MD. 2016. Computing the Thurston–Bennequin invariant in open books. Acta Mathematica Hungarica. 150(2), 441–455.
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2016 | Journal Article | IST-REx-ID: 1408 |
Franek P, Krcál M. 2016. On computability and triviality of well groups. Discrete & Computational Geometry. 56(1), 126–164.
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2016 | Journal Article | IST-REx-ID: 1662 |
Edelsbrunner H, Pausinger F. 2016. Approximation and convergence of the intrinsic volume. Advances in Mathematics. 287, 674–703.
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2015 | Conference Paper | IST-REx-ID: 1424 |
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.
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2015 | Conference Paper | IST-REx-ID: 1483 |
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.
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2015 | Conference Paper | IST-REx-ID: 1495 |
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.
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2015 | Conference Paper | IST-REx-ID: 1568
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.
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2015 | Journal Article | IST-REx-ID: 1584 |
Biedl T, Held M, Huber S, Kaaser D, Palfrader P. 2015. Reprint of: Weighted straight skeletons in the plane. Computational Geometry: Theory and Applications. 48(5), 429–442.
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2015 | Book Chapter | IST-REx-ID: 1590 |
Aichholzer O, Biedl T, Hackl T, Held M, Huber S, Palfrader P, Vogtenhuber B. 2015. Representing directed trees as straight skeletons. Graph Drawing and Network Visualization. GD: International Symposium on Graph DrawingLecture Notes in Computer Science, LNCS, vol. 9411. 335–347.
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2015 | Journal Article | IST-REx-ID: 1582 |
Biedl T, Held M, Huber S, Kaaser D, Palfrader P. 2015. Weighted straight skeletons in the plane. Computational Geometry: Theory and Applications. 48(2), 120–133.
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2015 | Journal Article | IST-REx-ID: 1583 |
Biedl T, Held M, Huber S, Kaaser D, Palfrader P. 2015. A simple algorithm for computing positively weighted straight skeletons of monotone polygons. Information Processing Letters. 115(2), 243–247.
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2015 | Journal Article | IST-REx-ID: 1682 |
Franek P, Krcál M. 2015. Robust satisfiability of systems of equations. Journal of the ACM. 62(4), 26.
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2015 | Journal Article | IST-REx-ID: 1710 |
Akopyan A, Plakhov A. 2015. Minimal resistance of curves under the single impact assumption. Society for Industrial and Applied Mathematics. 47(4), 2754–2769.
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2015 | Journal Article | IST-REx-ID: 2035 |
Edelsbrunner H, Jablonski G, Mrozek M. 2015. The persistent homology of a self-map. Foundations of Computational Mathematics. 15(5), 1213–1244.
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2015 | Journal Article | IST-REx-ID: 1805
Attali D, Bauer U, Devillers O, Glisse M, Lieutier A. 2015. Homological reconstruction and simplification in R3. Computational Geometry: Theory and Applications. 48(8), 606–621.
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2015 | Conference Paper | IST-REx-ID: 1510 |
Franek P, Krcál M. 2015. On computability and triviality of well groups. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 34. 842–856.
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2015 | Journal Article | IST-REx-ID: 1555 |
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.
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2015 | Conference Paper | IST-REx-ID: 1567
Edelsbrunner H. 2015. Shape, homology, persistence, and stability. 9411.
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2015 | Journal Article | IST-REx-ID: 1828 |
Akopyan A, Pirogov S, Rybko A. 2015. Invariant measures of genetic recombination process. Journal of Statistical Physics. 160(1), 163–167.
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2015 | Journal Article | IST-REx-ID: 1792
Pausinger F, Svane A. 2015. A Koksma-Hlawka inequality for general discrepancy systems. Journal of Complexity. 31(6), 773–797.
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2015 | Journal Article | IST-REx-ID: 1793 |
Symonova O, Topp C, Edelsbrunner H. 2015. DynamicRoots: A software platform for the reconstruction and analysis of growing plant roots. PLoS One. 10(6).
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2015 | Thesis | IST-REx-ID: 1399
Pausinger F. 2015. On the approximation of intrinsic volumes, IST Austria, 144p.
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2014 | Conference Paper | IST-REx-ID: 2012 |
Iglesias Ham M, Kerber M, Uhler C. 2014. Sphere packing with limited overlap. CCCG: Canadian Conference on Computational Geometry 155–161.
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2014 | Conference Paper | IST-REx-ID: 2905 |
Edelsbrunner H, Morozovy D. 2014. Persistent homology: Theory and practice. ECM: European Congress of Mathematics 31–50.
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2014 | Book | IST-REx-ID: 6853
Edelsbrunner H. 2014. A Short Course in Computational Geometry and Topology, Cham: Springer International Publishing, IX, 110p.
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2014 | Journal Article | IST-REx-ID: 1842 |
Cibulka J, Gao P, Krcál M, Valla T, Valtr P. 2014. On the geometric ramsey number of outerplanar graphs. Discrete & Computational Geometry. 53(1), 64–79.
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2014 | Conference Paper | IST-REx-ID: 2043 |
Bauer U, Kerber M, Reininghaus J. 2014. Distributed computation of persistent homology. Proceedings of the Workshop on Algorithm Engineering and Experiments. ALENEX: Algorithm Engineering and Experiments 31–38.
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2014 | Book Chapter | IST-REx-ID: 2044 |
Bauer U, Kerber M, Reininghaus J. 2014. Clear and Compress: Computing Persistent Homology in Chunks. Topological Methods in Data Analysis and Visualization III. Mathematics and Visualization 103–117.
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2014 | Conference Paper | IST-REx-ID: 2153 |
Bauer U, Lesnick M. 2014. Induced matchings of barcodes and the algebraic stability of persistence. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry 355–364.
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2014 | Conference Paper | IST-REx-ID: 2155 |
Bauer U, Edelsbrunner H. 2014. The morse theory of Čech and Delaunay filtrations. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry 484–490.
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2014 | Conference Paper | IST-REx-ID: 2156 |
Bauer U, Ge X, Wang Y. 2014. Measuring distance between Reeb graphs. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry 464–473.
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2014 | Journal Article | IST-REx-ID: 2184 |
Čadek M, Krcál M, Matoušek J, Sergeraert F, Vokřínek L, Wagner U. 2014. Computing all maps into a sphere. Journal of the ACM. 61(3), 17.
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2014 | Journal Article | IST-REx-ID: 2255 |
Edelsbrunner H, Pausinger F. 2014. Stable length estimates of tube-like shapes. Journal of Mathematical Imaging and Vision. 50(1), 164–177.
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2014 | Journal Article | IST-REx-ID: 1816 |
Huber S, Held M, Meerwald P, Kwitt R. 2014. Topology-preserving watermarking of vector graphics. International Journal of Computational Geometry and Applications. 24(1), 61–86.
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2014 | Journal Article | IST-REx-ID: 1876 |
Dolbilin N, Edelsbrunner H, Glazyrin A, Musin O. 2014. Functionals on triangulations of delaunay sets. Moscow Mathematical Journal. 14(3), 491–504.
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2013 | Conference Paper | IST-REx-ID: 2210 |
Biedl T, Held M, Huber S. 2013. Reconstructing polygons from embedded straight skeletons. 29th European Workshop on Computational Geometry. EuroCG: European Workshop on Computational Geometry 95–98.
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2013 | Conference Paper | IST-REx-ID: 2209
Biedl T, Held M, Huber S. 2013. Recognizing straight skeletons and Voronoi diagrams and reconstructing their input. ISVD: Voronoi Diagrams in Science and Engineering, 2013 10th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2013) , 37–46.
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2013 | Conference Paper | IST-REx-ID: 2807 |
Čadek M, Krcál M, Matoušek J, Vokřínek L, Wagner U. 2013. Extending continuous maps: Polynomiality and undecidability. 45th Annual ACM Symposium on theory of computing. STOC: Symposium on the Theory of Computing 595–604.
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2013 | Conference Paper | IST-REx-ID: 2843
Edelsbrunner H, Pausinger F. 2013. Stable length estimates of tube-like shapes. 17th IAPR International Conference on Discrete Geometry for Computer Imagery. DGCI: Discrete Geometry for Computer Imagery, LNCS, vol. 7749. XV–XIX.
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2013 | Journal Article | IST-REx-ID: 2887 |
Fang S, Clark R, Zheng Y, Iyer Pascuzzi A, Weitz J, Kochian L, Edelsbrunner H, Liao H, Benfey P. 2013. Genotypic recognition and spatial responses by rice roots. PNAS. 110(7), 2670–2675.
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| PubMed | Europe PMC
2013 | Conference Paper | IST-REx-ID: 2901 |
Chen C, Kolmogorov V, Yan Z, Metaxas D, Lampert C. 2013. Computing the M most probable modes of a graphical model. AISTATS: Conference on Uncertainty in Artificial Intelligence, JMLR: W&CP, vol. 31. 161–169.
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2013 | Conference Paper | IST-REx-ID: 2906 |
Kerber M, Edelsbrunner H. 2013. 3D kinetic alpha complexes and their implementation. 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments. ALENEX: Algorithm Engineering and Experiments, ALENEX, 70–77.
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2013 | Journal Article | IST-REx-ID: 2859 |
Bendich P, Edelsbrunner H, Morozov D, Patel A. 2013. Homology and robustness of level and interlevel sets. Homology, Homotopy and Applications. 15(1), 51–72.
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| arXiv
2013 | Journal Article | IST-REx-ID: 2815
Edelsbrunner H, Fasy BT, Rote G. 2013. Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions. Discrete & Computational Geometry. 49(4), 797–822.
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2013 | Journal Article | IST-REx-ID: 2822 |
Topp C, Iyer Pascuzzi A, Anderson J, Lee C, Zurek P, Symonova O, Zheng Y, Bucksch A, Mileyko Y, Galkovskyi T, Moore B, Harer J, Edelsbrunner H, Mitchell Olds T, Weitz J, Benfey P. 2013. 3D phenotyping and quantitative trait locus mapping identify core regions of the rice genome controlling root architecture. PNAS. 110(18), E1695–E1704.
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| PubMed | Europe PMC
2013 | Conference Paper | IST-REx-ID: 2812 |
Attali D, Bauer U, Devillers O, Glisse M, Lieutier A. 2013. Homological reconstruction and simplification in R3. Proceedings of the 29th annual symposium on Computational Geometry. SoCG: Symposium on Computational Geometry 117–125.
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2013 | Journal Article | IST-REx-ID: 2939
Chen C, Kerber M. 2013. An output sensitive algorithm for persistent homology. Computational Geometry: Theory and Applications. 46(4), 435–447.
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2012 | Journal Article | IST-REx-ID: 2902
Edelsbrunner H, Musin O, Ukhalov A, Yakimova O, Alexeev V, Bogaevskaya V, Gorohov A, Preobrazhenskaya M. 2012. Fractal and computational geometry for generalizing cartographic objects. Modeling and Analysis of Information Systems. 19(6), 152–160.
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2012 | Journal Article | IST-REx-ID: 2849 |
Edelsbrunner H, Strelkova N. 2012. On the configuration space of Steiner minimal trees. Russian Mathematical Surveys. 67(6), 1167–1168.
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2012 | Conference Paper | IST-REx-ID: 2903 |
Edelsbrunner H, Symonova O. 2012. The adaptive topology of a digital image. ISVD: International Symposium on Voronoi Diagrams in Science and Engineering 41–48.
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2012 | Journal Article | IST-REx-ID: 2904 |
Pausinger F. 2012. Weak multipliers for generalized van der Corput sequences. Journal de Theorie des Nombres des Bordeaux. 24(3), 729–749.
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2012 | Journal Article | IST-REx-ID: 3120 |
Brown G, Kerber M, Reid M. 2012. Fano 3 folds in codimension 4 Tom and Jerry Part I. Compositio Mathematica. 148(4), 1171–1194.
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2012 | Conference Paper | IST-REx-ID: 3127 |
Quadrianto N, Lampert C, Chen C. 2012. The most persistent soft-clique in a set of sampled graphs. Proceedings of the 29th International Conference on Machine Learning. ICML: International Conference on Machine Learning 211–218.
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2012 | Conference Paper | IST-REx-ID: 3129 |
Busaryev O, Cabello S, Chen C, Dey T, Wang Y. 2012. Annotating simplices with a homology basis and its applications. SWAT: Symposium and Workshops on Algorithm Theory, LNCS, vol. 7357. 189–200.
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| arXiv
2012 | Conference Paper | IST-REx-ID: 3134
Edelsbrunner H, Fasy B, Rote G. 2012. Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions. Proceedings of the twenty-eighth annual symposium on Computational geometry . SCG: Symposium on Computational Geometry 91–100.
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2012 | Conference Paper | IST-REx-ID: 3133 |
Edelsbrunner H, Kerber M. 2012. Alexander duality for functions: The persistent behavior of land and water and shore. Proceedings of the twenty-eighth annual symposium on Computational geometry . SCG: Symposium on Computational Geometry 249–258.
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2012 | Journal Article | IST-REx-ID: 2941 |
Dolbilin N, Edelsbrunner H, Musin O. 2012. On the optimality of functionals over triangulations of Delaunay sets. Russian Mathematical Surveys. 67(4), 781–783.
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