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Arroyo Guevara AM, Richter RB, Sunohara M. Extending drawings of complete graphs into arrangements of pseudocircles. SIAM Journal on Discrete Mathematics. 2021;35(2):1050-1076. doi:10.1137/20M1313234
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Ivanov G, Tsiutsiurupa I. Functional Löwner ellipsoids. Journal of Geometric Analysis. 2021;31:11493-11528. doi:10.1007/s12220-021-00691-4
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Ivanov G, Lopushanski MS. Rectifiable curves in proximally smooth sets. Set-Valued and Variational Analysis. 2021. doi:10.1007/s11228-021-00612-1
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Avvakumov S, Mabillard I, Skopenkov AB, Wagner U. Eliminating higher-multiplicity intersections. III. Codimension 2. Israel Journal of Mathematics. 2021;245:501–534. doi:10.1007/s11856-021-2216-z
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Ivanov G, Tsiutsiurupa I. On the volume of sections of the cube. Analysis and Geometry in Metric Spaces. 2021;9(1):1-18. doi:10.1515/agms-2020-0103
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Ivanov G. Tight frames and related geometric problems. Canadian Mathematical Bulletin. 2021;64(4):942-963. doi:10.4153/s000843952000096x
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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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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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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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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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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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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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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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Avvakumov S, Wagner U, Mabillard I, Skopenkov AB. Eliminating higher-multiplicity intersections, III. Codimension 2. Russian Mathematical Surveys. 2020;75(6):1156-1158. doi:10.1070/RM9943
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Filakovský M, Vokínek 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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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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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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Masárová Z. Reconfiguration problems. 2020. doi:10.15479/AT:ISTA:7944
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Huszár K. Combinatorial width parameters for 3-dimensional manifolds. 2020. doi:10.15479/AT:ISTA:8032
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Avvakumov S. Topological methods in geometry and discrete mathematics. 2020. doi:10.15479/AT:ISTA:8156
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Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. Disjoint tree-compatible plane perfect matchings. In: 36th European Workshop on Computational Geometry. ; 2020.
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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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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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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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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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Fulek R, Kyndl 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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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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Arroyo Guevara AM, Derka M, Parada I. Extending simple drawings. In: 27th International Symposium on Graph Drawing and Network Visualization. Vol 11904. Springer Nature; 2019:230-243. doi:10.1007/978-3-030-35802-0_18
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Zhechev SY. Algorithmic aspects of homotopy theory and embeddability. 2019. doi:10.15479/AT:ISTA:6681
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Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. arXiv.
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Avvakumov S, Karasev R. Envy-free division using mapping degree. arXiv. doi:10.48550/arXiv.1907.11183
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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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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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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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Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. arXiv.
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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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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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Biniaz A, Jain K, Lubiw A, et al. Token swapping on trees. arXiv.
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Fulek R, Kyndl 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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Fulek R, Kyndl J. The 2-Genus of Kuratowski minors. In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018:40.1-40.14. doi:10.4230/LIPIcs.SoCG.2018.40
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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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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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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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arXiv: 1712.00434

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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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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Matousek 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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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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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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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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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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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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DOI: 10.7155/jgaa.00408
arXiv: 1608.08662

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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arXiv: 1602.07907

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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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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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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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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Kyndl J, Patakova Z. On the nonexistence of k reptile simplices in d^3 and d^4. The Electronic Journal of Combinatorics. 2017;24(3):1-44.
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Fulek R, Kyndl J, Pálvölgyi D. Unified Hanani Tutte theorem. Electronic Journal of Combinatorics. 2017;24(3). doi:10.37236/6663
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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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cadek M, Krcál M, Vokínek 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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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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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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Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. Bounding helly numbers via betti numbers. In: Loebl M, Nesetil 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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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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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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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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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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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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Avvakumov S. The classification of certain linked 3-manifolds in 6-space. Moscow Mathematical Journal. 2016;16(1):1-25. doi:10.17323/1609-4514-2016-16-1-1-25
LibreCat: https://research-explorer.ista.ac.at/record/1522
DOI: 10.17323/1609-4514-2016-16-1-1-25
arXiv: 1408.3918

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
LibreCat: https://research-explorer.ista.ac.at/record/1523
DOI: 10.1090/proc/12824

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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DOI: 10.1007/978-3-319-50106-2_36
arXiv: 1608.08662

Matousek 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
LibreCat: https://research-explorer.ista.ac.at/record/1411
DOI: 10.1007/s11856-016-1294-9

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
LibreCat: https://research-explorer.ista.ac.at/record/1379
DOI: 10.4230/LIPIcs.SoCG.2016.24

Mabillard I. Eliminating higher-multiplicity intersections: an r-fold Whitney trick for the topological Tverberg conjecture. 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1123

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
LibreCat: https://research-explorer.ista.ac.at/record/1165
DOI: 10.1007/978-3-319-50106-2_8

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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DOI: 10.4230/LIPIcs.SoCG.2016.35

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
LibreCat: https://research-explorer.ista.ac.at/record/1510
DOI: 10.4230/LIPIcs.SOCG.2015.842

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
LibreCat: https://research-explorer.ista.ac.at/record/1595
DOI: 10.1007/978-3-319-27261-0_9

Fulek R, Radoidi R. Vertical visibility among parallel polygons in three dimensions. In: Graph Drawing and Network Visualization. Vol 9411. Springer Nature; 2015:373-379. doi:10.1007/978-3-319-27261-0_31
LibreCat: https://research-explorer.ista.ac.at/record/1596
DOI: 10.1007/978-3-319-27261-0_31

Fulek R, Kyndl J, Malinovid I, Pálvölgyi D. Clustered planarity testing revisited. Electronic Journal of Combinatorics. 2015;22(4). doi:10.37236/5002
LibreCat: https://research-explorer.ista.ac.at/record/1642
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arXiv: 1305.4519

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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DOI: 10.1007/978-3-662-48350-3_33

Karasev R, Kyndl 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
LibreCat: https://research-explorer.ista.ac.at/record/1688
DOI: 10.1007/s00454-015-9720-z

Franek P, Krcál M. Robust satisfiability of systems of equations. Journal of the ACM. 2015;62(4). doi:10.1145/2751524
LibreCat: https://research-explorer.ista.ac.at/record/1682
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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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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
LibreCat: https://research-explorer.ista.ac.at/record/1511
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Avvakumov S, Mabillard I, Skopenkov A, Wagner U. Eliminating higher-multiplicity intersections, III. Codimension 2. arXiv.
LibreCat: https://research-explorer.ista.ac.at/record/8183
arXiv: 1511.03501

Goaoc X, Paták P, Patakova Z, Tancer M, Wagner U. Bounding Helly numbers via Betti numbers. In: Vol 34. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2015:507-521. doi:10.4230/LIPIcs.SOCG.2015.507
LibreCat: https://research-explorer.ista.ac.at/record/1512
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Fulek R, Kyndl J, Malinovi I, Pálvölgyi D. Clustered planarity testing revisited. In: International Symposium on Graph Drawing. Vol 8871. Cham: Springer Nature; 2014:428-436. doi:10.1007/978-3-662-45803-7_36
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DOI: 10.1007/978-3-662-45803-7_36
arXiv: 1305.4519

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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Matousek 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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DOI: 10.1007/s00454-014-9584-7

cadek M, Krcál M, Matousek J, Sergeraert F, Vokínek L, Wagner U. Computing all maps into a sphere. Journal of the ACM. 2014;61(3). doi:10.1145/2597629
LibreCat: https://research-explorer.ista.ac.at/record/2184
DOI: 10.1145/2597629

Huszár K, Rolinek M. Playful Math - An Introduction to Mathematical Games. IST Austria
LibreCat: https://research-explorer.ista.ac.at/record/7038

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
LibreCat: https://research-explorer.ista.ac.at/record/2159
DOI: 10.1145/2582112.2582134

Matousek 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
LibreCat: https://research-explorer.ista.ac.at/record/2157
DOI: 10.1145/2582112.2582137

Matousek 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
LibreCat: https://research-explorer.ista.ac.at/record/2244
DOI: 10.1007/978-3-319-03841-4_41
arXiv: 1302.6475

cadek M, Krcál M, Matousek J, Vokínek 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
LibreCat: https://research-explorer.ista.ac.at/record/2807
DOI: 10.1145/2488608.2488683