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87 Publications

2020 | Journal Article | IST-REx-ID: 6563 | OA
Filakovský M, Vokřínek L. 2020. Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics. 20, 311–330.
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2020 | Journal Article | IST-REx-ID: 7960 | OA
Kalai G, Patakova Z. 2020. Intersection patterns of planar sets. Discrete and Computational Geometry. 64, 304–323.
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2020 | Conference Paper | IST-REx-ID: 7989 | OA
Patakova Z. 2020. Bounding radon number via Betti numbers. 36th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 61:1-61:13.
View | Files available | DOI | arXiv
 
2020 | Conference Paper | IST-REx-ID: 7990 | OA
Wagner U, Welzl E. 2020. Connectivity of triangulation flip graphs in the plane (Part II: Bistellar flips). 36th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 67:1-67:16.
View | Files available | DOI | arXiv
 
2020 | Conference Paper | IST-REx-ID: 7991 | OA
Avvakumov S, Nivasch G. 2020. Homotopic curve shortening and the affine curve-shortening flow. 36th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 12:1-12:15.
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2020 | Conference Paper | IST-REx-ID: 7992 | OA
Patakova Z, Tancer M, Wagner U. 2020. Barycentric cuts through a convex body. 36th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 62:1-62:16.
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2020 | Conference Paper | IST-REx-ID: 7994 | OA
Arroyo Guevara AM, Bensmail J, Bruce Richter R. 2020. Extending drawings of graphs to arrangements of pseudolines. 36th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 9:1-9:14.
View | Files available | DOI | arXiv
 
2020 | Thesis | IST-REx-ID: 7944 | OA
Masárová Z. 2020. Reconfiguration problems. IST Austria.
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2020 | Thesis | IST-REx-ID: 8032 | OA
Huszár K. 2020. Combinatorial width parameters for 3-dimensional manifolds. IST Austria.
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2020 | Thesis | IST-REx-ID: 8156 | OA
Avvakumov S. 2020. Topological methods in geometry and discrete mathematics. IST Austria.
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2020 | Conference Paper | IST-REx-ID: 7806 | OA
Filakovský M, Wagner U, Zhechev SY. 2020. Embeddability of simplicial complexes is undecidable. Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms vol. 2020–January, 767–785.
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2020 | Conference Paper | IST-REx-ID: 7807 | OA
Wagner U, Welzl E. 2020. Connectivity of triangulation flip graphs in the plane (Part I: Edge flips). Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms vol. 2020–January, 2823–2841.
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2020 | Conference Paper | IST-REx-ID: 8732
Arroyo Guevara AM, Klute F, Parada I, Seidel R, Vogtenhuber B, Wiedera T. 2020. Inserting one edge into a simple drawing is hard. Graph-Theoretic Concepts in Computer Science. WG: Workshop on Graph-Theoretic Concepts in Computer Science, LNCS, vol. 12301, 325–338.
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2019 | Journal Article | IST-REx-ID: 5790 | OA
Chaplick S, Fulek R, Klavík P. 2019. Extending partial representations of circle graphs. Journal of Graph Theory. 91(4), 365–394.
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2019 | Journal Article | IST-REx-ID: 5857 | OA
Fulek R, Pach J. 2019. Thrackles: An improved upper bound. Discrete Applied Mathematics. 259(4), 266–231.
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2019 | Journal Article | IST-REx-ID: 6638 | OA
Silva A, Arroyo Guevara AM, Richter B, Lee O. 2019. Graphs with at most one crossing. Discrete Mathematics. 342(11), 3201–3207.
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2019 | Conference Paper | IST-REx-ID: 6647 | OA
Fulek R, Gärtner B, Kupavskii A, Valtr P, Wagner U. 2019. The crossing Tverberg theorem. 35th International Symposium on Computational Geometry. SoCG 2019: Symposium on Computational Geometry, LIPIcs, vol. 129, 38:1-38:13.
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2019 | Thesis | IST-REx-ID: 6681 | OA
Zhechev SY. 2019. Algorithmic aspects of homotopy theory and embeddability. IST Austria.
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2019 | Journal Article | IST-REx-ID: 6982 | OA
Akitaya H, Fulek R, Tóth C. 2019. Recognizing weak embeddings of graphs. ACM Transactions on Algorithms. 15(4), 50.
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2019 | Journal Article | IST-REx-ID: 7034 | OA
Fulek R, Kynčl J. 2019. Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4. Combinatorica. 39(6), 1267–1279.
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2019 | Journal Article | IST-REx-ID: 7108 | OA
Goaoc X, Patak P, Patakova Z, Tancer M, Wagner U. 2019. Shellability is NP-complete. Journal of the ACM. 66(3), 21.
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2019 | Conference Paper | IST-REx-ID: 7230 | OA
Arroyo Guevara AM, Derka M, Parada I. 2019. Extending simple drawings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). GD: Graph Drawing and Network Visualization, LNCS, vol. 11904, 230–243.
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2019 | Preprint | IST-REx-ID: 7950 | OA
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.
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2019 | Journal Article | IST-REx-ID: 5986 | OA
Lubiw A, Masárová Z, Wagner U. 2019. A proof of the orbit conjecture for flipping edge-labelled triangulations. Discrete & Computational Geometry. 61(4), 880–898.
View | Files available | DOI | arXiv
 
2019 | Conference Paper | IST-REx-ID: 6556 | OA
Huszár K, Spreer J. 2019. 3-manifold triangulations with small treewidth. 35th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 129, 44:1-44:20.
View | Files available | DOI | arXiv
 
2019 | Journal Article | IST-REx-ID: 7093 | OA
Huszár K, Spreer J, Wagner U. 2019. On the treewidth of triangulated 3-manifolds. Journal of Computational Geometry. 10(2), 70–98.
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2019 | Preprint | IST-REx-ID: 8185 | OA
Avvakumov S, Karasev R. Envy-free division using mapping degree. arXiv, 1907.11183.
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2019 | Preprint | IST-REx-ID: 8182 | OA
Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. arXiv, 1910.12628.
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2019 | Preprint | IST-REx-ID: 8184 | OA
Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. arXiv, 1908.08731.
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2019 | Conference Paper | IST-REx-ID: 7401 | OA
Fulek R, Kyncl J. 2019. Z_2-Genus of graphs and minimum rank of partial symmetric matrices. 35th International Symposium on Computational Geometry (SoCG 2019). SoCG: Symposium on Computational Geometry, LIPIcs, vol. 129, 39.
View | Files available | DOI | arXiv
 
2018 | Conference Paper | IST-REx-ID: 185 | OA
Fulek R, Kynčl J. 2018. Hanani-Tutte for approximating maps of graphs. SoCG: Symposium on Computational Geometry, Leibniz International Proceedings in Information, LIPIcs, vol. 99, 39.
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2018 | Conference Paper | IST-REx-ID: 186 | OA
Fulek R, Kynčl J. 2018. The ℤ2-Genus of Kuratowski minors. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 99, 401–4014.
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2018 | Journal Article | IST-REx-ID: 425 | OA
Matoušek J, Sedgwick E, Tancer M, Wagner U. 2018. Embeddability in the 3-Sphere is decidable. Journal of the ACM. 65(1), 5.
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2018 | Conference Paper | IST-REx-ID: 5791 | OA
Fulek R, Tóth CD. 2018. Crossing minimization in perturbed drawings. Graph Drawing and Network Visualization, LNCS, vol. 11282, 229–241.
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2018 | Conference Paper | IST-REx-ID: 433 | OA
Fulek R, Pach J. 2018. Thrackles: An improved upper bound. GD 2017: Graph Drawing and Network Visualization, LNCS, vol. 10692, 160–166.
View | Files available | DOI | Download Submitted Version (ext.) | arXiv
 
2018 | Journal Article | IST-REx-ID: 5960 | OA
Rohou S, Franek P, Aubry C, Jaulin L. 2018. Proving the existence of loops in robot trajectories. The International Journal of Robotics Research. 37(12), 1500–1516.
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2018 | Journal Article | IST-REx-ID: 6774 | OA
Filakovský M, Franek P, Wagner U, Zhechev SY. 2018. Computing simplicial representatives of homotopy group elements. Journal of Applied and Computational Topology. 2(3–4), 177–231.
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2018 | Conference Paper | IST-REx-ID: 309 | OA
Akitaya H, Fulek R, Tóth C. 2018. Recognizing weak embeddings of graphs. SODA: Symposium on Discrete Algorithms, 274–292.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2018 | Conference Paper | IST-REx-ID: 285 | OA
Huszár K, Spreer J, Wagner U. 2018. On the treewidth of triangulated 3-manifolds. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 99, 46.
View | Files available | DOI | arXiv
 
2018 | Conference Paper | IST-REx-ID: 184 | OA
Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. 2018. Shellability is NP-complete. SoCG: Symposium on Computational Geometry, Leibniz International Proceedings in Information, LIPIcs, vol. 99, 41:1-41:16.
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2018 | Journal Article | IST-REx-ID: 6355 | OA
Akopyan A, Avvakumov S. 2018. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 6, e7.
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2018 | Journal Article | IST-REx-ID: 742 | OA
Dotterrer D, Kaufman T, Wagner U. 2018. On expansion and topological overlap. Geometriae Dedicata. 195(1), 307–317.
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2017 | Journal Article | IST-REx-ID: 1073 | OA
Čadek M, Krcál M, Vokřínek L. 2017. Algorithmic solvability of the lifting extension problem. Discrete & Computational Geometry. 54(4), 915–965.
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2017 | Journal Article | IST-REx-ID: 1113 | OA
Fulek R, Pelsmajer M, Schaefer M. 2017. Hanani-Tutte for radial planarity. Journal of Graph Algorithms and Applications. 21(1), 135–154.
View | Files available | DOI | arXiv
 
2017 | Book Chapter | IST-REx-ID: 424 | OA
Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. 2017.Bounding helly numbers via betti numbers. In: A Journey through Discrete Mathematics: A Tribute to Jiri Matousek. , 407–447.
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2017 | Journal Article | IST-REx-ID: 534 | OA
Burton B, de Mesmay AN, Wagner U. 2017. Finding non-orientable surfaces in 3-Manifolds. Discrete & Computational Geometry. 58(4), 871–888.
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2017 | Journal Article | IST-REx-ID: 568 | OA
Franek P, Krcál M. 2017. Persistence of zero sets. Homology, Homotopy and Applications. 19(2), 313–342.
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2017 | Journal Article | IST-REx-ID: 610 | OA
Goaoc X, Mabillard I, Paták P, Patakova Z, Tancer M, Wagner U. 2017. On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result. Israel Journal of Mathematics. 222(2), 841–866.
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2017 | Conference Paper | IST-REx-ID: 6517 | OA
Fulek R. 2017. Embedding graphs into embedded graphs. ISAAC: International Symposium on Algorithms and Computation vol. 92, 34.
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2017 | Conference Paper | IST-REx-ID: 683 | OA
Lubiw A, Masárová Z, Wagner U. 2017. A proof of the orbit conjecture for flipping edge labelled triangulations. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 77, 49.
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2017 | Conference Paper | IST-REx-ID: 688 | OA
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: 701 | OA
Kynčl J, Patakova Z. 2017. On the nonexistence of k reptile simplices in ℝ^3 and ℝ^4. The Electronic Journal of Combinatorics. 24(3), 1–44.
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2017 | Journal Article | IST-REx-ID: 794 | OA
Fulek R. 2017. C-planarity of embedded cyclic c-graphs. Computational Geometry: Theory and Applications. 66, 1–13.
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2017 | Journal Article | IST-REx-ID: 795 | OA
Fulek R, Kynčl J, Pálvölgyi D. 2017. Unified Hanani Tutte theorem. Electronic Journal of Combinatorics. 24(3), P3.18.
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2017 | Journal Article | IST-REx-ID: 793 | OA
Fulek R, Mojarrad H, Naszódi M, Solymosi J, Stich S, Szedlák M. 2017. On the existence of ordinary triangles. Computational Geometry: Theory and Applications. 66, 28–31.
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2016 | Journal Article | IST-REx-ID: 1282 | OA
Gundert A, Wagner U. 2016. On eigenvalues of random complexes. Israel Journal of Mathematics. 216(2), 545–582.
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2016 | Conference Paper | IST-REx-ID: 1237
Krcál M, Pilarczyk P. 2016. Computation of cubical Steenrod squares. CTIC: Computational Topology in Image Context, LNCS, vol. 9667, 140–151.
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2016 | Conference Paper | IST-REx-ID: 1348 | OA
Fulek R. 2016. Bounded embeddings of graphs in the plane. IWOCA: International Workshop on Combinatorial Algorithms, LNCS, vol. 9843, 31–42.
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2016 | Conference Paper | IST-REx-ID: 1381 | OA
Mabillard I, Wagner U. 2016. Eliminating higher-multiplicity intersections, II. The deleted product criterion in the r-metastable range. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 51, 51.1-51.12.
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2016 | Journal Article | IST-REx-ID: 1408 | OA
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: 1522 | OA
Avvakumov S. 2016. The classification of certain linked 3-manifolds in 6-space. Moscow Mathematical Journal. 16(1), 1–25.
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2016 | Journal Article | IST-REx-ID: 1523 | OA
Gundert A, Wagner U. 2016. On topological minors in random simplicial complexes. Proceedings of the American Mathematical Society. 144(4), 1815–1828.
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2016 | Conference Paper | IST-REx-ID: 1164 | OA
Fulek R, Pelsmajer M, Schaefer M. 2016. Hanani-Tutte for radial planarity II. GD: Graph Drawing and Network Visualization, LNCS, vol. 9801, 468–481.
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2016 | Thesis | IST-REx-ID: 1123
Mabillard I. 2016. Eliminating higher-multiplicity intersections: an r-fold Whitney trick for the topological Tverberg conjecture. IST Austria.
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2016 | Journal Article | IST-REx-ID: 1411 | OA
Matoušek J, Sedgwick E, Tancer M, Wagner U. 2016. Untangling two systems of noncrossing curves. Israel Journal of Mathematics. 212(1), 37–79.
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2016 | Conference Paper | IST-REx-ID: 1379 | OA
Burton B, de Mesmay AN, Wagner U. 2016. Finding non-orientable surfaces in 3-manifolds. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 51, 24.1-24.15.
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2016 | Conference Paper | IST-REx-ID: 1165 | OA
Fulek R. 2016. C-planarity of embedded cyclic c-graphs. GD: Graph Drawing and Network Visualization, LNCS, vol. 9801, 94–106.
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2016 | Conference Paper | IST-REx-ID: 1378 | OA
Dotterrer D, Kaufman T, Wagner U. 2016. On expansion and topological overlap. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 51, 35.1-35.10.
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2015 | Conference Paper | IST-REx-ID: 1510 | OA
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 | Conference Paper | IST-REx-ID: 1595 | OA
Fulek R, Pelsmajer M, Schaefer M. 2015. Hanani-Tutte for radial planarity. GD: Graph Drawing and Network Visualization, LNCS, vol. 9411, 99–110.
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2015 | Conference Paper | IST-REx-ID: 1596 | OA
Fulek R, Radoičić R. 2015. Vertical visibility among parallel polygons in three dimensions. 9411, 373–379.
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2015 | Journal Article | IST-REx-ID: 1642 | OA
Fulek R, Kynčl J, Malinovič I, Pálvölgyi D. 2015. Clustered planarity testing revisited. Electronic Journal of Combinatorics. 22(4), P4.24.
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2015 | Journal Article | IST-REx-ID: 1682 | OA
Franek P, Krcál M. 2015. Robust satisfiability of systems of equations. Journal of the ACM. 62(4), 26.
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2015 | Conference Paper | IST-REx-ID: 1685 | OA
Cohen Addad V, de Mesmay AN. 2015. A fixed parameter tractable approximation scheme for the optimal cut graph of a surface. ESA: European Symposium on Algorithms, LNCS, vol. 9294, 386–398.
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2015 | Journal Article | IST-REx-ID: 1688 | OA
Karasev R, Kynčl J, Paták P, Patakova Z, Tancer M. 2015. Bounds for Pach’s selection theorem and for the minimum solid angle in a simplex. Discrete & Computational Geometry. 54(3), 610–636.
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2015 | Journal Article | IST-REx-ID: 1730 | OA
Colin De Verdière É, Hubard A, de Mesmay AN. 2015. Discrete systolic inequalities and decompositions of triangulated surfaces. Discrete & Computational Geometry. 53(3), 587–620.
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2015 | Conference Paper | IST-REx-ID: 1512 | OA
Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. 2015. Bounding Helly numbers via Betti numbers. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 34, 507–521.
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2015 | Conference Paper | IST-REx-ID: 1511 | OA
Goaoc X, Mabillard I, Paták P, Patakova Z, Tancer M, Wagner U. 2015. On generalized Heawood inequalities for manifolds: A Van Kampen–Flores-type nonembeddability result. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 34, 476–490.
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2015 | Preprint | IST-REx-ID: 8183 | OA
Avvakumov S, Mabillard I, Skopenkov A, Wagner U. Eliminating higher-multiplicity intersections, III. Codimension 2. arXiv, 1511.03501.
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2014 | Journal Article | IST-REx-ID: 1842 | OA
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 | Journal Article | IST-REx-ID: 2154 | OA
Matoušek J, Wagner U. 2014. On Gromov’s method of selecting heavily covered points. Discrete & Computational Geometry. 52(1), 1–33.
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2014 | Conference Paper | IST-REx-ID: 2159 | OA
Mabillard I, Wagner U. 2014. Eliminating Tverberg points, I. An analogue of the Whitney trick. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, 171–180.
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2014 | Journal Article | IST-REx-ID: 2184 | OA
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 | Conference Paper | IST-REx-ID: 2157 | OA
Matoušek J, Sedgwick E, Tancer M, Wagner U. 2014. Embeddability in the 3 sphere is decidable. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, 78–84.
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2014 | Working Paper | IST-REx-ID: 7038 | OA
Huszár K, Rolinek M. Playful Math - An introduction to mathematical games, IST Austria, 5p.
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2013 | Conference Paper | IST-REx-ID: 2244 | OA
Matoušek J, Sedgwick E, Tancer M, Wagner U. 2013. Untangling two systems of noncrossing curves. 8242, 472–483.
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2013 | Conference Paper | IST-REx-ID: 2807 | OA
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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