R. Fulek and J. Kyndl, “The 2-Genus of Kuratowski minors,” presented at the SoCG: Symposium on Computational Geometry, Budapest, Hungary, 2018, vol. 99, p. 40.1-40.14.
LibreCat: https://research-explorer.ista.ac.at/record/186
DOI: 10.4230/LIPIcs.SoCG.2018.40
arXiv: 1803.05085

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.
LibreCat: https://research-explorer.ista.ac.at/record/433
DOI: 10.1007/978-3-319-73915-1_14
arXiv: 1708.08037

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.
LibreCat: https://research-explorer.ista.ac.at/record/184
DOI: 10.4230/LIPIcs.SoCG.2018.41

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.
LibreCat: https://research-explorer.ista.ac.at/record/285
DOI: 10.4230/LIPIcs.SoCG.2018.46
arXiv: 1712.00434

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.
LibreCat: https://research-explorer.ista.ac.at/record/6774
DOI: 10.1007/s41468-018-0021-5

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.
LibreCat: https://research-explorer.ista.ac.at/record/5791
DOI: 10.1007/978-3-030-04414-5_16
WoS: 000672802500016
arXiv: 1808.07608

J. Matousek, E. Sedgwick, M. Tancer, and U. Wagner, “Embeddability in the 3-Sphere is decidable,” Journal of the ACM, vol. 65, no. 1. ACM, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/425
DOI: 10.1145/3078632
WoS: 000425685900006
arXiv: 1402.0815

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.
LibreCat: https://research-explorer.ista.ac.at/record/309
DOI: 10.1137/1.9781611975031.20
WoS: 000483921200021
arXiv: 1709.09209

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.
LibreCat: https://research-explorer.ista.ac.at/record/5960
DOI: 10.1177/0278364918808367
WoS: 000456881100004
arXiv: 1712.01341

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.
LibreCat: https://research-explorer.ista.ac.at/record/6355
DOI: 10.1017/fms.2018.7
WoS: 000433915500001
arXiv: 1712.10205

D. Dotterrer, T. Kaufman, and U. Wagner, “On expansion and topological overlap,” Geometriae Dedicata, vol. 195, no. 1. Springer, pp. 307–317, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/742
DOI: 10.1007/s10711-017-0291-4
WoS: 000437122700017

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.
LibreCat: https://research-explorer.ista.ac.at/record/1113
DOI: 10.7155/jgaa.00408
arXiv: 1608.08662

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.
LibreCat: https://research-explorer.ista.ac.at/record/534
DOI: 10.1007/s00454-017-9900-0
arXiv: 1602.07907

P. Franek and M. Krcál, “Persistence of zero sets,” Homology, Homotopy and Applications, vol. 19, no. 2. International Press, pp. 313–342, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/568
DOI: 10.4310/HHA.2017.v19.n2.a16

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.
LibreCat: https://research-explorer.ista.ac.at/record/610
DOI: 10.1007/s11856-017-1607-7

R. Fulek, “Embedding graphs into embedded graphs,” presented at the ISAAC: International Symposium on Algorithms and Computation, Phuket, Thailand, 2017, vol. 92.
LibreCat: https://research-explorer.ista.ac.at/record/6517
DOI: 10.4230/LIPICS.ISAAC.2017.34

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.
LibreCat: https://research-explorer.ista.ac.at/record/688
DOI: 10.4230/LIPIcs.SoCG.2017.39

J. Kyndl and Z. Patakova, “On the nonexistence of k reptile simplices in d^3 and d^4,” The Electronic Journal of Combinatorics, vol. 24, no. 3. International Press, pp. 1–44, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/701

R. Fulek, J. Kyndl, and D. Pálvölgyi, “Unified Hanani Tutte theorem,” Electronic Journal of Combinatorics, vol. 24, no. 3. International Press, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/795
DOI: 10.37236/6663

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.
LibreCat: https://research-explorer.ista.ac.at/record/683
DOI: 10.4230/LIPIcs.SoCG.2017.49

M. cadek, M. Krcál, and L. Vokínek, “Algorithmic solvability of the lifting extension problem,” Discrete &; Computational Geometry, vol. 54, no. 4. Springer, pp. 915–965, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/1073
DOI: 10.1007/s00454-016-9855-6
WoS: 000400072700008

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.
LibreCat: https://research-explorer.ista.ac.at/record/793
DOI: 10.1016/j.comgeo.2017.07.002
WoS: 000412039700003

R. Fulek, “C-planarity of embedded cyclic c-graphs,” Computational Geometry: Theory and Applications, vol. 66. Elsevier, pp. 1–13, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/794
DOI: 10.1016/j.comgeo.2017.06.016
WoS: 000412039700001

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. Nesetil, and R. Thomas, Eds. Springer, 2017, pp. 407–447.
LibreCat: https://research-explorer.ista.ac.at/record/424
DOI: 10.1007/978-3-319-44479-6_17

M. Krcál and P. Pilarczyk, “Computation of cubical Steenrod squares,” presented at the CTIC: Computational Topology in Image Context, Marseille, France, 2016, vol. 9667, pp. 140–151.
LibreCat: https://research-explorer.ista.ac.at/record/1237
DOI: 10.1007/978-3-319-39441-1_13

A. Gundert and U. Wagner, “On eigenvalues of random complexes,” Israel Journal of Mathematics, vol. 216, no. 2. Springer, pp. 545–582, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1282
DOI: 10.1007/s11856-016-1419-1

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.
LibreCat: https://research-explorer.ista.ac.at/record/1348
DOI: 10.1007/978-3-319-44543-4_3

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.
LibreCat: https://research-explorer.ista.ac.at/record/1381
DOI: 10.4230/LIPIcs.SoCG.2016.51

P. Franek and M. Krcál, “On computability and triviality of well groups,” Discrete &; Computational Geometry, vol. 56, no. 1. Springer, pp. 126–164, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1408
DOI: 10.1007/s00454-016-9794-2

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.
LibreCat: https://research-explorer.ista.ac.at/record/1522
DOI: 10.17323/1609-4514-2016-16-1-1-25
arXiv: 1408.3918

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

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.
LibreCat: https://research-explorer.ista.ac.at/record/1164
DOI: 10.1007/978-3-319-50106-2_36
arXiv: 1608.08662

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

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

I. Mabillard, “Eliminating higher-multiplicity intersections: an r-fold Whitney trick for the topological Tverberg conjecture,” Institute of Science and Technology Austria, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1123

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

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.
LibreCat: https://research-explorer.ista.ac.at/record/1378
DOI: 10.4230/LIPIcs.SoCG.2016.35

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

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

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

R. Fulek, J. Kyndl, I. Malinovid, and D. Pálvölgyi, “Clustered planarity testing revisited,” Electronic Journal of Combinatorics, vol. 22, no. 4. Electronic Journal of Combinatorics, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1642
DOI: 10.37236/5002
arXiv: 1305.4519

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.
LibreCat: https://research-explorer.ista.ac.at/record/1685
DOI: 10.1007/978-3-662-48350-3_33

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

P. Franek and M. Krcál, “Robust satisfiability of systems of equations,” Journal of the ACM, vol. 62, no. 4. ACM, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1682
DOI: 10.1145/2751524

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.
LibreCat: https://research-explorer.ista.ac.at/record/1730
DOI: 10.1007/s00454-015-9679-9

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.
LibreCat: https://research-explorer.ista.ac.at/record/1511
DOI: 10.4230/LIPIcs.SOCG.2015.476

S. Avvakumov, I. Mabillard, A. Skopenkov, and U. Wagner, “Eliminating higher-multiplicity intersections, III. Codimension 2,” arXiv. .
LibreCat: https://research-explorer.ista.ac.at/record/8183
arXiv: 1511.03501

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.
LibreCat: https://research-explorer.ista.ac.at/record/1512
DOI: 10.4230/LIPIcs.SOCG.2015.507

R. Fulek, J. Kyndl, I. Malinovi, and D. Pálvölgyi, “Clustered planarity testing revisited,” in International Symposium on Graph Drawing, 2014, vol. 8871, pp. 428–436.
LibreCat: https://research-explorer.ista.ac.at/record/10793
DOI: 10.1007/978-3-662-45803-7_36
arXiv: 1305.4519

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.
LibreCat: https://research-explorer.ista.ac.at/record/1842
DOI: 10.1007/s00454-014-9646-x

J. Matousek and U. Wagner, “On Gromov’s method of selecting heavily covered points,” Discrete &; Computational Geometry, vol. 52, no. 1. Springer, pp. 1–33, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/2154
DOI: 10.1007/s00454-014-9584-7

M. cadek, M. Krcál, J. Matousek, F. Sergeraert, L. Vokínek, and U. Wagner, “Computing all maps into a sphere,” Journal of the ACM, vol. 61, no. 3. ACM, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/2184
DOI: 10.1145/2597629

K. Huszár and M. Rolinek, Playful Math - An introduction to mathematical games. IST Austria.
LibreCat: https://research-explorer.ista.ac.at/record/7038

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

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

J. Matousek, E. Sedgwick, M. Tancer, and U. Wagner, “Untangling two systems of noncrossing curves,” vol. 8242. Springer, pp. 472–483, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2244
DOI: 10.1007/978-3-319-03841-4_41
arXiv: 1302.6475

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