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89 Publications
2021 | Journal Article | IST-REx-ID: 9037 | 
Ivanov G. No-dimension Tverberg’s theorem and its corollaries in Banach spaces of type p. Bulletin of the London Mathematical Society. 2021. doi:10.1112/blms.12449
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2021 | Journal Article | IST-REx-ID: 9098 |
Ivanov G. On the volume of projections of the cross-polytope. Discrete Mathematics. 344(5). doi:10.1016/j.disc.2021.112312
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2020 | Journal Article | IST-REx-ID: 7960 |
Kalai G, Patakova Z. Intersection patterns of planar sets. Discrete and Computational Geometry. 2020;64:304-323. doi:10.1007/s00454-020-00205-z
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2020 | Conference Paper | IST-REx-ID: 7989 |
Patakova Z. Bounding radon number via Betti numbers. In: 36th International Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.61
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2020 | Conference Paper | IST-REx-ID: 7990 |
Wagner U, Welzl E. Connectivity of triangulation flip graphs in the plane (Part II: Bistellar flips). In: 36th International Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.67
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2020 | Conference Paper | IST-REx-ID: 7991 |
Avvakumov S, Nivasch G. Homotopic curve shortening and the affine curve-shortening flow. In: 36th International Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.12
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2020 | Conference Paper | IST-REx-ID: 7992 |
Patakova Z, Tancer M, Wagner U. Barycentric cuts through a convex body. In: 36th International Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.62
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2020 | Conference Paper | IST-REx-ID: 7994 |
Arroyo Guevara AM, Bensmail J, Bruce Richter R. Extending drawings of graphs to arrangements of pseudolines. In: 36th International Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.9
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2020 | Thesis | IST-REx-ID: 8032 |
Huszár K. Combinatorial width parameters for 3-dimensional manifolds. 2020. doi:10.15479/AT:ISTA:8032
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2020 | Thesis | IST-REx-ID: 8156 |
Avvakumov S. Topological methods in geometry and discrete mathematics. 2020. doi:10.15479/AT:ISTA:8156
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2020 | Conference Paper | IST-REx-ID: 8732
Arroyo Guevara AM, Klute F, Parada I, Seidel R, Vogtenhuber B, Wiedera T. Inserting one edge into a simple drawing is hard. In: Graph-Theoretic Concepts in Computer Science. Vol 12301. Springer Nature; 2020:325-338. doi:10.1007/978-3-030-60440-0_26
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2020 | Conference Paper | IST-REx-ID: 7806 |
Filakovský M, Wagner U, Zhechev SY. Embeddability of simplicial complexes is undecidable. In: Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms. Vol 2020-January. SIAM; 2020:767-785. doi:10.1137/1.9781611975994.47
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2020 | Conference Paper | IST-REx-ID: 7807 |
Wagner U, Welzl E. Connectivity of triangulation flip graphs in the plane (Part I: Edge flips). In: Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms. Vol 2020-January. SIAM; 2020:2823-2841. doi:10.1137/1.9781611975994.172
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2020 | Thesis | IST-REx-ID: 7944 |
Masárová Z. Reconfiguration problems. 2020. doi:10.15479/AT:ISTA:7944
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2020 | Journal Article | IST-REx-ID: 6563 |
Filakovský M, Vokřínek L. Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics. 2020;20:311-330. doi:10.1007/s10208-019-09419-x
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2019 | Preprint | IST-REx-ID: 8182 |
Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. arXiv.
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2019 | Preprint | IST-REx-ID: 8184 |
Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. arXiv.
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2019 | Preprint | IST-REx-ID: 8185 |
Avvakumov S, Karasev R. Envy-free division using mapping degree. arXiv.
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| arXiv
2019 | Conference Paper | IST-REx-ID: 7230 |
Arroyo Guevara AM, Derka M, Parada I. Extending simple drawings. In: Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol 11904. Springer Nature; 2019:230-243. doi:10.1007/978-3-030-35802-0_18
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2019 | Conference Paper | IST-REx-ID: 7401 |
Fulek R, Kyncl J. Z_2-Genus of graphs and minimum rank of partial symmetric matrices. In: 35th International Symposium on Computational Geometry (SoCG 2019). Vol 129. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.SOCG.2019.39
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2019 | Preprint | IST-REx-ID: 7950 |
Biniaz A, Jain K, Lubiw A, et al. Token swapping on trees. arXiv.
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2019 | Journal Article | IST-REx-ID: 5790 |
Chaplick S, Fulek R, Klavík P. Extending partial representations of circle graphs. Journal of Graph Theory. 2019;91(4):365-394. doi:10.1002/jgt.22436
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2019 | Journal Article | IST-REx-ID: 5857 |
Fulek R, Pach J. Thrackles: An improved upper bound. Discrete Applied Mathematics. 2019;259(4):266-231. doi:10.1016/j.dam.2018.12.025
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2019 | Journal Article | IST-REx-ID: 5986 |
Lubiw A, Masárová Z, Wagner U. A proof of the orbit conjecture for flipping edge-labelled triangulations. Discrete & Computational Geometry. 2019;61(4):880-898. doi:10.1007/s00454-018-0035-8
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2019 | Conference Paper | IST-REx-ID: 6556 |
Huszár K, Spreer J. 3-manifold triangulations with small treewidth. In: 35th International Symposium on Computational Geometry. Vol 129. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019:44:1-44:20. doi:10.4230/LIPIcs.SoCG.2019.44
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2019 | Journal Article | IST-REx-ID: 6638 |
Silva A, Arroyo Guevara AM, Richter B, Lee O. Graphs with at most one crossing. Discrete Mathematics. 2019;342(11):3201-3207. doi:10.1016/j.disc.2019.06.031
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2019 | Conference Paper | IST-REx-ID: 6647 |
Fulek R, Gärtner B, Kupavskii A, Valtr P, Wagner U. The crossing Tverberg theorem. In: 35th International Symposium on Computational Geometry. Vol 129. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019:38:1-38:13. doi:10.4230/LIPICS.SOCG.2019.38
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2019 | Thesis | IST-REx-ID: 6681 |
Zhechev SY. Algorithmic aspects of homotopy theory and embeddability. 2019. doi:10.15479/AT:ISTA:6681
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2019 | Journal Article | IST-REx-ID: 6982 |
Akitaya H, Fulek R, Tóth C. Recognizing weak embeddings of graphs. ACM Transactions on Algorithms. 2019;15(4). doi:10.1145/3344549
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2019 | Journal Article | IST-REx-ID: 7034 |
Fulek R, Kynčl J. Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4. Combinatorica. 2019;39(6):1267-1279. doi:10.1007/s00493-019-3905-7
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2019 | Journal Article | IST-REx-ID: 7093 |
Huszár K, Spreer J, Wagner U. On the treewidth of triangulated 3-manifolds. Journal of Computational Geometry. 2019;10(2):70–98. doi:10.20382/JOGC.V10I2A5
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2019 | Journal Article | IST-REx-ID: 7108 |
Goaoc X, Patak P, Patakova Z, Tancer M, Wagner U. Shellability is NP-complete. Journal of the ACM. 2019;66(3). doi:10.1145/3314024
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2018 | Conference Paper | IST-REx-ID: 285 |
Huszár K, Spreer J, Wagner U. On the treewidth of triangulated 3-manifolds. In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018. doi:10.4230/LIPIcs.SoCG.2018.46
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2018 | Conference Paper | IST-REx-ID: 184 |
Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. Shellability is NP-complete. In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018:41:1-41:16. doi:10.4230/LIPIcs.SoCG.2018.41
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2018 | Conference Paper | IST-REx-ID: 185 |
Fulek R, Kynčl J. Hanani-Tutte for approximating maps of graphs. In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018. doi:10.4230/LIPIcs.SoCG.2018.39
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2018 | Conference Paper | IST-REx-ID: 186 |
Fulek R, Kynčl J. The ℤ2-Genus of Kuratowski minors. In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018:401-4014. doi:10.4230/LIPIcs.SoCG.2018.40
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2018 | Journal Article | IST-REx-ID: 742 |
Dotterrer D, Kaufman T, Wagner U. On expansion and topological overlap. Geometriae Dedicata. 2018;195(1):307–317. doi:10.1007/s10711-017-0291-4
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2018 | Conference Paper | IST-REx-ID: 5791 |
Fulek R, Tóth CD. Crossing minimization in perturbed drawings. In: Vol 11282. Springer; 2018:229-241. doi:10.1007/978-3-030-04414-5_16
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2018 | Journal Article | IST-REx-ID: 5960 |
Rohou S, Franek P, Aubry C, Jaulin L. Proving the existence of loops in robot trajectories. The International Journal of Robotics Research. 2018;37(12):1500-1516. doi:10.1177/0278364918808367
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2018 | Journal Article | IST-REx-ID: 6355 |
Akopyan A, Avvakumov S. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 2018;6. doi:10.1017/fms.2018.7
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| arXiv
2018 | Journal Article | IST-REx-ID: 6774 |
Filakovský M, Franek P, Wagner U, Zhechev SY. Computing simplicial representatives of homotopy group elements. Journal of Applied and Computational Topology. 2018;2(3-4):177-231. doi:10.1007/s41468-018-0021-5
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2018 | Journal Article | IST-REx-ID: 425 |
Matoušek J, Sedgwick E, Tancer M, Wagner U. Embeddability in the 3-Sphere is decidable. Journal of the ACM. 2018;65(1). doi:10.1145/3078632
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2018 | Conference Paper | IST-REx-ID: 433 |
Fulek R, Pach J. Thrackles: An improved upper bound. In: Vol 10692. Springer; 2018:160-166. doi:10.1007/978-3-319-73915-1_14
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2018 | Conference Paper | IST-REx-ID: 309 |
Akitaya H, Fulek R, Tóth C. Recognizing weak embeddings of graphs. In: ACM; 2018:274-292. doi:10.1137/1.9781611975031.20
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2017 | Journal Article | IST-REx-ID: 793 |
Fulek R, Mojarrad H, Naszódi M, Solymosi J, Stich S, Szedlák M. On the existence of ordinary triangles. Computational Geometry: Theory and Applications. 2017;66:28-31. doi:10.1016/j.comgeo.2017.07.002
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2017 | Journal Article | IST-REx-ID: 794 |
Fulek R. C-planarity of embedded cyclic c-graphs. Computational Geometry: Theory and Applications. 2017;66:1-13. doi:10.1016/j.comgeo.2017.06.016
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2017 | Journal Article | IST-REx-ID: 795 |
Fulek R, Kynčl J, Pálvölgyi D. Unified Hanani Tutte theorem. Electronic Journal of Combinatorics. 2017;24(3).
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2017 | Journal Article | IST-REx-ID: 534 |
Burton B, de Mesmay AN, Wagner U. Finding non-orientable surfaces in 3-Manifolds. Discrete & Computational Geometry. 2017;58(4):871-888. doi:10.1007/s00454-017-9900-0
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2017 | Journal Article | IST-REx-ID: 568 |
Franek P, Krcál M. Persistence of zero sets. Homology, Homotopy and Applications. 2017;19(2):313-342. doi:10.4310/HHA.2017.v19.n2.a16
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2017 | Journal Article | IST-REx-ID: 610 |
Goaoc X, Mabillard I, Paták P, Patakova Z, Tancer M, Wagner U. On generalized Heawood inequalities for manifolds: A van Kampen–Flores type nonembeddability result. Israel Journal of Mathematics. 2017;222(2):841-866. doi:10.1007/s11856-017-1607-7
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2017 | Conference Paper | IST-REx-ID: 6517 |
Fulek R. Embedding graphs into embedded graphs. In: Vol 92. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPICS.ISAAC.2017.34
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2017 | Conference Paper | IST-REx-ID: 683 |
Lubiw A, Masárová Z, Wagner U. A proof of the orbit conjecture for flipping edge labelled triangulations. In: Vol 77. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.SoCG.2017.49
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2017 | Conference Paper | IST-REx-ID: 688 |
Edelsbrunner H, Wagner H. Topological data analysis with Bregman divergences. In: Vol 77. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017:391-3916. doi:10.4230/LIPIcs.SoCG.2017.39
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2017 | Journal Article | IST-REx-ID: 701 |
Kynčl J, Patakova Z. On the nonexistence of k reptile simplices in ℝ^3 and ℝ^4. The Electronic Journal of Combinatorics. 2017;24(3):1-44.
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2017 | Journal Article | IST-REx-ID: 1073 |
Čadek M, Krcál M, Vokřínek L. Algorithmic solvability of the lifting extension problem. Discrete & Computational Geometry. 2017;54(4):915-965. doi:10.1007/s00454-016-9855-6
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2017 | Journal Article | IST-REx-ID: 1113 |
Fulek R, Pelsmajer M, Schaefer M. Hanani-Tutte for radial planarity. Journal of Graph Algorithms and Applications. 2017;21(1):135-154. doi:10.7155/jgaa.00408
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| arXiv
2017 | Book Chapter | IST-REx-ID: 424 |
Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. Bounding helly numbers via betti numbers. In: Loebl M, Nešetřil J, Thomas R, eds. A Journey through Discrete Mathematics: A Tribute to Jiri Matousek. A Journey Through Discrete Mathematics. Springer; 2017:407-447. doi:10.1007/978-3-319-44479-6_17
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2016 | Journal Article | IST-REx-ID: 1282 |
Gundert A, Wagner U. On eigenvalues of random complexes. Israel Journal of Mathematics. 2016;216(2):545-582. doi:10.1007/s11856-016-1419-1
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2016 | Conference Paper | IST-REx-ID: 1348 |
Fulek R. Bounded embeddings of graphs in the plane. In: Vol 9843. Springer; 2016:31-42. doi:10.1007/978-3-319-44543-4_3
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2016 | Conference Paper | IST-REx-ID: 1378 |
Dotterrer D, Kaufman T, Wagner U. On expansion and topological overlap. In: Vol 51. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing; 2016:35.1-35.10. doi:10.4230/LIPIcs.SoCG.2016.35
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2016 | Conference Paper | IST-REx-ID: 1379 |
Burton B, de Mesmay AN, Wagner U. Finding non-orientable surfaces in 3-manifolds. In: Vol 51. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing; 2016:24.1-24.15. doi:10.4230/LIPIcs.SoCG.2016.24
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2016 | Conference Paper | IST-REx-ID: 1381 |
Mabillard I, Wagner U. Eliminating higher-multiplicity intersections, II. The deleted product criterion in the r-metastable range. In: Vol 51. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH; 2016:51.1-51.12. doi:10.4230/LIPIcs.SoCG.2016.51
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2016 | Journal Article | IST-REx-ID: 1408 |
Franek P, Krcál M. On computability and triviality of well groups. Discrete & Computational Geometry. 2016;56(1):126-164. doi:10.1007/s00454-016-9794-2
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2016 | Journal Article | IST-REx-ID: 1411 |
Matoušek J, Sedgwick E, Tancer M, Wagner U. Untangling two systems of noncrossing curves. Israel Journal of Mathematics. 2016;212(1):37-79. doi:10.1007/s11856-016-1294-9
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2016 | Journal Article | IST-REx-ID: 1522 |
Avvakumov S. The classification of certain linked 3-manifolds in 6-space. Moscow Mathematical Journal. 2016;16(1):1-25.
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2016 | Journal Article | IST-REx-ID: 1523 |
Gundert A, Wagner U. On topological minors in random simplicial complexes. Proceedings of the American Mathematical Society. 2016;144(4):1815-1828. doi:10.1090/proc/12824
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2016 | Conference Paper | IST-REx-ID: 1164 |
Fulek R, Pelsmajer M, Schaefer M. Hanani-Tutte for radial planarity II. In: Vol 9801. Springer; 2016:468-481. doi:10.1007/978-3-319-50106-2_36
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2016 | Conference Paper | IST-REx-ID: 1165 |
Fulek R. C-planarity of embedded cyclic c-graphs. In: Vol 9801. Springer; 2016:94-106. doi:10.1007/978-3-319-50106-2_8
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2016 | Conference Paper | IST-REx-ID: 1237
Krcál M, Pilarczyk P. Computation of cubical Steenrod squares. In: Vol 9667. Springer; 2016:140-151. doi:10.1007/978-3-319-39441-1_13
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2016 | Thesis | IST-REx-ID: 1123 |
Mabillard I. Eliminating higher-multiplicity intersections: an r-fold Whitney trick for the topological Tverberg conjecture. 2016.
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2015 | Preprint | IST-REx-ID: 8183 |
Avvakumov S, Mabillard I, Skopenkov A, Wagner U. Eliminating higher-multiplicity intersections, III. Codimension 2. arXiv.
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2015 | Journal Article | IST-REx-ID: 1688 |
Karasev R, Kynčl J, Paták P, Patakova Z, Tancer M. Bounds for Pach’s selection theorem and for the minimum solid angle in a simplex. Discrete & Computational Geometry. 2015;54(3):610-636. doi:10.1007/s00454-015-9720-z
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2015 | Journal Article | IST-REx-ID: 1730 |
Colin De Verdière É, Hubard A, de Mesmay AN. Discrete systolic inequalities and decompositions of triangulated surfaces. Discrete & Computational Geometry. 2015;53(3):587-620. doi:10.1007/s00454-015-9679-9
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2015 | Conference Paper | IST-REx-ID: 1510 |
Franek P, Krcál M. On computability and triviality of well groups. In: Vol 34. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2015:842-856. doi:10.4230/LIPIcs.SOCG.2015.842
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2015 | Conference Paper | IST-REx-ID: 1511 |
Goaoc X, Mabillard I, Paták P, Patakova Z, Tancer M, Wagner U. On generalized Heawood inequalities for manifolds: A Van Kampen–Flores-type nonembeddability result. In: Vol 34. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2015:476-490. doi:10.4230/LIPIcs.SOCG.2015.476
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2015 | Conference Paper | IST-REx-ID: 1512 |
Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. Bounding Helly numbers via Betti numbers. In: Vol 34. ACM; 2015:507-521. doi:10.4230/LIPIcs.SOCG.2015.507
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2015 | Conference Paper | IST-REx-ID: 1595 |
Fulek R, Pelsmajer M, Schaefer M. Hanani-Tutte for radial planarity. In: Vol 9411. Springer; 2015:99-110. doi:10.1007/978-3-319-27261-0_9
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2015 | Conference Paper | IST-REx-ID: 1596 |
Fulek R, Radoičić R. Vertical visibility among parallel polygons in three dimensions. 2015;9411:373-379. doi:10.1007/978-3-319-27261-0_31
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2015 | Journal Article | IST-REx-ID: 1642 |
Fulek R, Kynčl J, Malinovič I, Pálvölgyi D. Clustered planarity testing revisited. Electronic Journal of Combinatorics. 2015;22(4).
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2015 | Journal Article | IST-REx-ID: 1682 |
Franek P, Krcál M. Robust satisfiability of systems of equations. Journal of the ACM. 2015;62(4). doi:10.1145/2751524
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2015 | Conference Paper | IST-REx-ID: 1685 |
Cohen Addad V, de Mesmay AN. A fixed parameter tractable approximation scheme for the optimal cut graph of a surface. In: Vol 9294. Springer; 2015:386-398. doi:10.1007/978-3-662-48350-3_33
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2014 | Journal Article | IST-REx-ID: 1842 |
Cibulka J, Gao P, Krcál M, Valla T, Valtr P. On the geometric ramsey number of outerplanar graphs. Discrete & Computational Geometry. 2014;53(1):64-79. doi:10.1007/s00454-014-9646-x
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2014 | Journal Article | IST-REx-ID: 2154 |
Matoušek J, Wagner U. On Gromov’s method of selecting heavily covered points. Discrete & Computational Geometry. 2014;52(1):1-33. doi:10.1007/s00454-014-9584-7
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2014 | Conference Paper | IST-REx-ID: 2157 |
Matoušek J, Sedgwick E, Tancer M, Wagner U. Embeddability in the 3 sphere is decidable. In: Proceedings of the Annual Symposium on Computational Geometry. ACM; 2014:78-84. doi:10.1145/2582112.2582137
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2014 | Journal Article | IST-REx-ID: 2184 |
Čadek M, Krcál M, Matoušek J, Sergeraert F, Vokřínek L, Wagner U. Computing all maps into a sphere. Journal of the ACM. 2014;61(3). doi:10.1145/2597629
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2014 | Working Paper | IST-REx-ID: 7038 |
Huszár K, Rolinek M. Playful Math - An Introduction to Mathematical Games. IST Austria
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2014 | Conference Paper | IST-REx-ID: 2159 |
Mabillard I, Wagner U. Eliminating Tverberg points, I. An analogue of the Whitney trick. In: Proceedings of the Annual Symposium on Computational Geometry. ACM; 2014:171-180. doi:10.1145/2582112.2582134
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2013 | Conference Paper | IST-REx-ID: 2807 |
Čadek M, Krcál M, Matoušek J, Vokřínek L, Wagner U. Extending continuous maps: Polynomiality and undecidability. In: 45th Annual ACM Symposium on Theory of Computing. ACM; 2013:595-604. doi:10.1145/2488608.2488683
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2013 | Conference Paper | IST-REx-ID: 2244 |
Matoušek J, Sedgwick E, Tancer M, Wagner U. Untangling two systems of noncrossing curves. 2013;8242:472-483. doi:10.1007/978-3-319-03841-4_41
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