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127 Publications
2020 | Conference Paper | IST-REx-ID: 7992 | 
Z. Patakova, M. Tancer, and U. Wagner, “Barycentric cuts through a convex body,” in 36th International Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164.
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2020 | Conference Paper | IST-REx-ID: 7994 |
A. M. Arroyo Guevara, J. Bensmail, and R. Bruce Richter, “Extending drawings of graphs to arrangements of pseudolines,” in 36th International Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164.
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2020 | Conference Paper | IST-REx-ID: 7990 |
U. Wagner and E. Welzl, “Connectivity of triangulation flip graphs in the plane (Part II: Bistellar flips),” in 36th International Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164.
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2020 | Conference Paper | IST-REx-ID: 7807 |
U. Wagner and E. Welzl, “Connectivity of triangulation flip graphs in the plane (Part I: Edge flips),” in Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, Salt Lake City, UT, United States, 2020, vol. 2020–January, pp. 2823–2841.
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2020 | Journal Article | IST-REx-ID: 9308 |
S. Avvakumov, U. Wagner, I. Mabillard, and A. B. Skopenkov, “Eliminating higher-multiplicity intersections, III. Codimension 2,” Russian Mathematical Surveys, vol. 75, no. 6. IOP Publishing, pp. 1156–1158, 2020.
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2020 | Journal Article | IST-REx-ID: 6563 |
M. Filakovský and L. Vokřínek, “Are two given maps homotopic? An algorithmic viewpoint,” Foundations of Computational Mathematics, vol. 20. Springer Nature, pp. 311–330, 2020.
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2020 | Journal Article | IST-REx-ID: 7960 |
G. Kalai and Z. Patakova, “Intersection patterns of planar sets,” Discrete and Computational Geometry, vol. 64. Springer Nature, pp. 304–323, 2020.
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2020 | Thesis | IST-REx-ID: 7944 |
Z. Masárová, “Reconfiguration problems,” Institute of Science and Technology Austria, 2020.
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2020 | Thesis | IST-REx-ID: 8032 |
K. Huszár, “Combinatorial width parameters for 3-dimensional manifolds,” Institute of Science and Technology Austria, 2020.
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2020 | Thesis | IST-REx-ID: 8156 |
S. Avvakumov, “Topological methods in geometry and discrete mathematics,” Institute of Science and Technology Austria, 2020.
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2020 | Conference Paper | IST-REx-ID: 15082 |
O. Aichholzer, J. Obmann, P. Patak, D. Perz, and J. Tkadlec, “Disjoint tree-compatible plane perfect matchings,” in 36th European Workshop on Computational Geometry, Würzburg, Germany, Virtual, 2020.
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2019 | Conference Paper | IST-REx-ID: 7401 |
R. Fulek and J. Kyncl, “Z_2-Genus of graphs and minimum rank of partial symmetric matrices,” in 35th International Symposium on Computational Geometry (SoCG 2019), Portland, OR, United States, 2019, vol. 129.
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| arXiv
2019 | Journal Article | IST-REx-ID: 5790 |
S. Chaplick, R. Fulek, and P. Klavík, “Extending partial representations of circle graphs,” Journal of Graph Theory, vol. 91, no. 4. Wiley, pp. 365–394, 2019.
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2019 | Journal Article | IST-REx-ID: 5857 |
R. Fulek and J. Pach, “Thrackles: An improved upper bound,” Discrete Applied Mathematics, vol. 259, no. 4. Elsevier, pp. 266–231, 2019.
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| arXiv
2019 | Journal Article | IST-REx-ID: 6638 |
A. Silva, A. M. Arroyo Guevara, B. Richter, and O. Lee, “Graphs with at most one crossing,” Discrete Mathematics, vol. 342, no. 11. Elsevier, pp. 3201–3207, 2019.
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2019 | Journal Article | IST-REx-ID: 7034 |
R. Fulek and J. Kynčl, “Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4,” Combinatorica, vol. 39, no. 6. Springer Nature, pp. 1267–1279, 2019.
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2019 | Journal Article | IST-REx-ID: 7108 |
X. Goaoc, P. Patak, Z. Patakova, M. Tancer, and U. Wagner, “Shellability is NP-complete,” Journal of the ACM, vol. 66, no. 3. ACM, 2019.
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| arXiv
2019 | Conference Paper | IST-REx-ID: 7230 |
A. M. Arroyo Guevara, M. Derka, and I. Parada, “Extending simple drawings,” in 27th International Symposium on Graph Drawing and Network Visualization, Prague, Czech Republic, 2019, vol. 11904, pp. 230–243.
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2019 | Thesis | IST-REx-ID: 6681 |
S. Y. Zhechev, “Algorithmic aspects of homotopy theory and embeddability,” Institute of Science and Technology Austria, 2019.
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2019 | Preprint | IST-REx-ID: 8182 |
S. Avvakumov and S. Kudrya, “Vanishing of all equivariant obstructions and the mapping degree,” arXiv. arXiv.
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2019 | Preprint | IST-REx-ID: 8185 |
S. Avvakumov and R. Karasev, “Envy-free division using mapping degree,” arXiv. .
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| arXiv
2019 | Journal Article | IST-REx-ID: 5986 |
A. Lubiw, Z. Masárová, and U. Wagner, “A proof of the orbit conjecture for flipping edge-labelled triangulations,” Discrete & Computational Geometry, vol. 61, no. 4. Springer Nature, pp. 880–898, 2019.
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2019 | Conference Paper | IST-REx-ID: 6556 |
K. Huszár and J. Spreer, “3-manifold triangulations with small treewidth,” in 35th International Symposium on Computational Geometry, Portland, Oregon, United States, 2019, vol. 129, p. 44:1-44:20.
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2019 | Journal Article | IST-REx-ID: 7093 |
K. Huszár, J. Spreer, and U. Wagner, “On the treewidth of triangulated 3-manifolds,” Journal of Computational Geometry, vol. 10, no. 2. Computational Geometry Laborartoy, pp. 70–98, 2019.
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| arXiv
2019 | Preprint | IST-REx-ID: 8184 |
S. Avvakumov, R. Karasev, and A. Skopenkov, “Stronger counterexamples to the topological Tverberg conjecture,” arXiv. arXiv.
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| arXiv
2019 | Journal Article | IST-REx-ID: 6982 |
H. Akitaya, R. Fulek, and C. Tóth, “Recognizing weak embeddings of graphs,” ACM Transactions on Algorithms, vol. 15, no. 4. ACM, 2019.
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2019 | Conference Paper | IST-REx-ID: 6647 |
R. Fulek, B. Gärtner, A. Kupavskii, P. Valtr, and U. Wagner, “The crossing Tverberg theorem,” in 35th International Symposium on Computational Geometry, Portland, OR, United States, 2019, vol. 129, p. 38:1-38:13.
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| arXiv
2019 | Preprint | IST-REx-ID: 7950 |
A. Biniaz et al., “Token swapping on trees,” arXiv. .
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| arXiv
2018 | Conference Paper | IST-REx-ID: 185 |
R. Fulek and J. Kynčl, “Hanani-Tutte for approximating maps of graphs,” presented at the SoCG: Symposium on Computational Geometry, Budapest, Hungary, 2018, vol. 99.
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2018 | Conference Paper | IST-REx-ID: 186 |
R. Fulek and J. Kynčl, “The ℤ2-Genus of Kuratowski minors,” presented at the SoCG: Symposium on Computational Geometry, Budapest, Hungary, 2018, vol. 99, p. 40.1-40.14.
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2018 | Conference Paper | IST-REx-ID: 433 |
R. Fulek and J. Pach, “Thrackles: An improved upper bound,” presented at the GD 2017: Graph Drawing and Network Visualization, Boston, MA, United States, 2018, vol. 10692, pp. 160–166.
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2018 | Conference Paper | IST-REx-ID: 184 |
X. Goaoc, P. Paták, Z. Patakova, M. Tancer, and U. Wagner, “Shellability is NP-complete,” presented at the SoCG: Symposium on Computational Geometry, Budapest, Hungary, 2018, vol. 99, p. 41:1-41:16.
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2018 | Conference Paper | IST-REx-ID: 285 |
K. Huszár, J. Spreer, and U. Wagner, “On the treewidth of triangulated 3-manifolds,” presented at the SoCG: Symposium on Computational Geometry, Budapest, Hungary, 2018, vol. 99.
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2018 | Journal Article | IST-REx-ID: 6774 |
M. Filakovský, P. Franek, U. Wagner, and S. Y. Zhechev, “Computing simplicial representatives of homotopy group elements,” Journal of Applied and Computational Topology, vol. 2, no. 3–4. Springer, pp. 177–231, 2018.
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2018 | Conference Paper | IST-REx-ID: 5791 |
R. Fulek and C. D. Tóth, “Crossing minimization in perturbed drawings,” presented at the Graph Drawing and Network Visualization, Barcelona, Spain, 2018, vol. 11282, pp. 229–241.
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2018 | Journal Article | IST-REx-ID: 425 |
J. Matoušek, E. Sedgwick, M. Tancer, and U. Wagner, “Embeddability in the 3-Sphere is decidable,” Journal of the ACM, vol. 65, no. 1. ACM, 2018.
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| arXiv
2018 | Conference Paper | IST-REx-ID: 309 |
H. Akitaya, R. Fulek, and C. Tóth, “Recognizing weak embeddings of graphs,” presented at the SODA: Symposium on Discrete Algorithms, New Orleans, LA, USA, 2018, pp. 274–292.
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| arXiv
2018 | Journal Article | IST-REx-ID: 5960 |
S. Rohou, P. Franek, C. Aubry, and L. Jaulin, “Proving the existence of loops in robot trajectories,” The International Journal of Robotics Research, vol. 37, no. 12. SAGE Publications, pp. 1500–1516, 2018.
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| arXiv
2018 | Journal Article | IST-REx-ID: 6355 |
A. Akopyan and S. Avvakumov, “Any cyclic quadrilateral can be inscribed in any closed convex smooth curve,” Forum of Mathematics, Sigma, vol. 6. Cambridge University Press, 2018.
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| arXiv
2018 | Journal Article | IST-REx-ID: 742 |
D. Dotterrer, T. Kaufman, and U. Wagner, “On expansion and topological overlap,” Geometriae Dedicata, vol. 195, no. 1. Springer, pp. 307–317, 2018.
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2017 | Journal Article | IST-REx-ID: 1113 |
R. Fulek, M. Pelsmajer, and M. Schaefer, “Hanani-Tutte for radial planarity,” Journal of Graph Algorithms and Applications, vol. 21, no. 1. Brown University, pp. 135–154, 2017.
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| arXiv
2017 | Journal Article | IST-REx-ID: 534 |
B. Burton, A. N. de Mesmay, and U. Wagner, “Finding non-orientable surfaces in 3-Manifolds,” Discrete & Computational Geometry, vol. 58, no. 4. Springer, pp. 871–888, 2017.
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| arXiv
2017 | Journal Article | IST-REx-ID: 568 |
P. Franek and M. Krcál, “Persistence of zero sets,” Homology, Homotopy and Applications, vol. 19, no. 2. International Press, pp. 313–342, 2017.
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2017 | Journal Article | IST-REx-ID: 610 |
X. Goaoc, I. Mabillard, P. Paták, Z. Patakova, M. Tancer, and U. Wagner, “On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result,” Israel Journal of Mathematics, vol. 222, no. 2. Springer, pp. 841–866, 2017.
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2017 | Conference Paper | IST-REx-ID: 6517 |
R. Fulek, “Embedding graphs into embedded graphs,” presented at the ISAAC: International Symposium on Algorithms and Computation, Phuket, Thailand, 2017, vol. 92.
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2017 | Conference Paper | IST-REx-ID: 688 |
H. Edelsbrunner and H. Wagner, “Topological data analysis with Bregman divergences,” presented at the Symposium on Computational Geometry, SoCG, Brisbane, Australia, 2017, vol. 77, pp. 391–3916.
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2017 | Journal Article | IST-REx-ID: 701 |
J. Kynčl and Z. Patakova, “On the nonexistence of k reptile simplices in ℝ^3 and ℝ^4,” The Electronic Journal of Combinatorics, vol. 24, no. 3. International Press, pp. 1–44, 2017.
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2017 | Journal Article | IST-REx-ID: 795 |
R. Fulek, J. Kynčl, and D. Pálvölgyi, “Unified Hanani Tutte theorem,” Electronic Journal of Combinatorics, vol. 24, no. 3. International Press, 2017.
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2017 | Conference Paper | IST-REx-ID: 683 |
A. Lubiw, Z. Masárová, and U. Wagner, “A proof of the orbit conjecture for flipping edge labelled triangulations,” presented at the SoCG: Symposium on Computational Geometry, Brisbane, Australia, 2017, vol. 77.
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2017 | Journal Article | IST-REx-ID: 1073 |
M. Čadek, M. Krcál, and L. Vokřínek, “Algorithmic solvability of the lifting extension problem,” Discrete & Computational Geometry, vol. 54, no. 4. Springer, pp. 915–965, 2017.
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2017 | Journal Article | IST-REx-ID: 793 |
R. Fulek, H. Mojarrad, M. Naszódi, J. Solymosi, S. Stich, and M. Szedlák, “On the existence of ordinary triangles,” Computational Geometry: Theory and Applications, vol. 66. Elsevier, pp. 28–31, 2017.
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2017 | Journal Article | IST-REx-ID: 794 |
R. Fulek, “C-planarity of embedded cyclic c-graphs,” Computational Geometry: Theory and Applications, vol. 66. Elsevier, pp. 1–13, 2017.
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2017 | Book Chapter | IST-REx-ID: 424 |
X. Goaoc, P. Paták, Z. Patakova, M. Tancer, and U. Wagner, “Bounding helly numbers via betti numbers,” in A Journey through Discrete Mathematics: A Tribute to Jiri Matousek, M. Loebl, J. Nešetřil, and R. Thomas, Eds. Springer, 2017, pp. 407–447.
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2016 | Journal Article | IST-REx-ID: 1282 |
A. Gundert and U. Wagner, “On eigenvalues of random complexes,” Israel Journal of Mathematics, vol. 216, no. 2. Springer, pp. 545–582, 2016.
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2016 | Conference Paper | IST-REx-ID: 1348 |
R. Fulek, “Bounded embeddings of graphs in the plane,” presented at the IWOCA: International Workshop on Combinatorial Algorithms, Helsinki, Finland, 2016, vol. 9843, pp. 31–42.
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2016 | Conference Paper | IST-REx-ID: 1381 |
I. Mabillard and U. Wagner, “Eliminating higher-multiplicity intersections, II. The deleted product criterion in the r-metastable range,” presented at the SoCG: Symposium on Computational Geometry, Medford, MA, USA, 2016, vol. 51, p. 51.1-51.12.
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2016 | Journal Article | IST-REx-ID: 1408 |
P. Franek and M. Krcál, “On computability and triviality of well groups,” Discrete & Computational Geometry, vol. 56, no. 1. Springer, pp. 126–164, 2016.
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2016 | Journal Article | IST-REx-ID: 1522 |
S. Avvakumov, “The classification of certain linked 3-manifolds in 6-space,” Moscow Mathematical Journal, vol. 16, no. 1. Independent University of Moscow, pp. 1–25, 2016.
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| arXiv
2016 | Journal Article | IST-REx-ID: 1523 |
A. Gundert and U. Wagner, “On topological minors in random simplicial complexes,” Proceedings of the American Mathematical Society, vol. 144, no. 4. American Mathematical Society, pp. 1815–1828, 2016.
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2016 | Conference Paper | IST-REx-ID: 1164 |
R. Fulek, M. Pelsmajer, and M. Schaefer, “Hanani-Tutte for radial planarity II,” presented at the GD: Graph Drawing and Network Visualization, Athens, Greece, 2016, vol. 9801, pp. 468–481.
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| arXiv
2016 | Journal Article | IST-REx-ID: 1411 |
J. Matoušek, E. Sedgwick, M. Tancer, and U. Wagner, “Untangling two systems of noncrossing curves,” Israel Journal of Mathematics, vol. 212, no. 1. Springer, pp. 37–79, 2016.
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2016 | Conference Paper | IST-REx-ID: 1379 |
B. Burton, A. N. de Mesmay, and U. Wagner, “Finding non-orientable surfaces in 3-manifolds,” presented at the SoCG: Symposium on Computational Geometry, Medford, MA, USA, 2016, vol. 51, p. 24.1-24.15.
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2016 | Thesis | IST-REx-ID: 1123 |
I. Mabillard, “Eliminating higher-multiplicity intersections: an r-fold Whitney trick for the topological Tverberg conjecture,” Institute of Science and Technology Austria, 2016.
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2016 | Conference Paper | IST-REx-ID: 1165 |
R. Fulek, “C-planarity of embedded cyclic c-graphs,” presented at the GD: Graph Drawing and Network Visualization, Athens, Greece, 2016, vol. 9801, pp. 94–106.
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2016 | Conference Paper | IST-REx-ID: 1378 |
D. Dotterrer, T. Kaufman, and U. Wagner, “On expansion and topological overlap,” presented at the SoCG: Symposium on Computational Geometry, Medford, MA, USA, 2016, vol. 51, p. 35.1-35.10.
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2015 | Conference Paper | IST-REx-ID: 1510 |
P. Franek and M. Krcál, “On computability and triviality of well groups,” presented at the SoCG: Symposium on Computational Geometry, Eindhoven, Netherlands, 2015, vol. 34, pp. 842–856.
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2015 | Conference Paper | IST-REx-ID: 1595 |
R. Fulek, M. Pelsmajer, and M. Schaefer, “Hanani-Tutte for radial planarity,” presented at the GD: Graph Drawing and Network Visualization, Los Angeles, CA, USA, 2015, vol. 9411, pp. 99–110.
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2015 | Book Chapter | IST-REx-ID: 1596 |
R. Fulek and R. Radoičić, “Vertical visibility among parallel polygons in three dimensions,” in Graph Drawing and Network Visualization, vol. 9411, Springer Nature, 2015, pp. 373–379.
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2015 | Journal Article | IST-REx-ID: 1642 |
R. Fulek, J. Kynčl, I. Malinovič, and D. Pálvölgyi, “Clustered planarity testing revisited,” Electronic Journal of Combinatorics, vol. 22, no. 4. Electronic Journal of Combinatorics, 2015.
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| arXiv
2015 | Conference Paper | IST-REx-ID: 1685 |
V. Cohen Addad and A. N. de Mesmay, “A fixed parameter tractable approximation scheme for the optimal cut graph of a surface,” presented at the ESA: European Symposium on Algorithms, Patras, Greece, 2015, vol. 9294, pp. 386–398.
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2015 | Journal Article | IST-REx-ID: 1688 |
R. Karasev, J. Kynčl, P. Paták, Z. Patakova, and M. Tancer, “Bounds for Pach’s selection theorem and for the minimum solid angle in a simplex,” Discrete & Computational Geometry, vol. 54, no. 3. Springer, pp. 610–636, 2015.
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2015 | Journal Article | IST-REx-ID: 1682 |
P. Franek and M. Krcál, “Robust satisfiability of systems of equations,” Journal of the ACM, vol. 62, no. 4. ACM, 2015.
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2015 | Journal Article | IST-REx-ID: 1730 |
É. Colin De Verdière, A. Hubard, and A. N. de Mesmay, “Discrete systolic inequalities and decompositions of triangulated surfaces,” Discrete & Computational Geometry, vol. 53, no. 3. Springer, pp. 587–620, 2015.
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2015 | Conference Paper | IST-REx-ID: 1511 |
X. Goaoc, I. Mabillard, P. Paták, Z. Patakova, M. Tancer, and U. Wagner, “On generalized Heawood inequalities for manifolds: A Van Kampen–Flores-type nonembeddability result,” presented at the SoCG: Symposium on Computational Geometry, Eindhoven, Netherlands, 2015, vol. 34, pp. 476–490.
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2015 | Preprint | IST-REx-ID: 8183 |
S. Avvakumov, I. Mabillard, A. Skopenkov, and U. Wagner, “Eliminating higher-multiplicity intersections, III. Codimension 2,” arXiv. .
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| arXiv
2015 | Conference Paper | IST-REx-ID: 1512 |
X. Goaoc, P. Paták, Z. Patakova, M. Tancer, and U. Wagner, “Bounding Helly numbers via Betti numbers,” presented at the SoCG: Symposium on Computational Geometry, Eindhoven, Netherlands, 2015, vol. 34, pp. 507–521.
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2014 | Conference Paper | IST-REx-ID: 10793
R. Fulek, J. Kynčl, I. Malinović, and D. Pálvölgyi, “Clustered planarity testing revisited,” in International Symposium on Graph Drawing, 2014, vol. 8871, pp. 428–436.
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| arXiv
2014 | Journal Article | IST-REx-ID: 1842 |
J. Cibulka, P. Gao, M. Krcál, T. Valla, and P. Valtr, “On the geometric ramsey number of outerplanar graphs,” Discrete & Computational Geometry, vol. 53, no. 1. Springer, pp. 64–79, 2014.
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2014 | Journal Article | IST-REx-ID: 2154 |
J. Matoušek and U. Wagner, “On Gromov’s method of selecting heavily covered points,” Discrete & Computational Geometry, vol. 52, no. 1. Springer, pp. 1–33, 2014.
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2014 | Journal Article | IST-REx-ID: 2184 |
M. Čadek, M. Krcál, J. Matoušek, F. Sergeraert, L. Vokřínek, and U. Wagner, “Computing all maps into a sphere,” Journal of the ACM, vol. 61, no. 3. ACM, 2014.
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2014 | Working Paper | IST-REx-ID: 7038 |
K. Huszár and M. Rolinek, Playful Math - An introduction to mathematical games. IST Austria.
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2014 | Conference Paper | IST-REx-ID: 2159 |
I. Mabillard and U. Wagner, “Eliminating Tverberg points, I. An analogue of the Whitney trick,” in Proceedings of the Annual Symposium on Computational Geometry, Kyoto, Japan, 2014, pp. 171–180.
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2014 | Conference Paper | IST-REx-ID: 2157 |
J. Matoušek, E. Sedgwick, M. Tancer, and U. Wagner, “Embeddability in the 3 sphere is decidable,” in Proceedings of the Annual Symposium on Computational Geometry, Kyoto, Japan, 2014, pp. 78–84.
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2013 | Conference Paper | IST-REx-ID: 2244 |
J. Matoušek, E. Sedgwick, M. Tancer, and U. Wagner, “Untangling two systems of noncrossing curves,” vol. 8242. Springer, pp. 472–483, 2013.
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| arXiv
2013 | Conference Paper | IST-REx-ID: 2807 |
M. Čadek, M. Krcál, J. Matoušek, L. Vokřínek, and U. Wagner, “Extending continuous maps: Polynomiality and undecidability,” in 45th Annual ACM Symposium on theory of computing, Palo Alto, CA, United States, 2013, pp. 595–604.
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