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127 Publications
2021 | Journal Article | IST-REx-ID: 9295 | 
Drawings of complete graphs in the projective plane
A.M. Arroyo Guevara, D. Mcquillan, R.B. Richter, G. Salazar, M. Sullivan, Journal of Graph Theory 97 (2021) 426–440.
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A.M. Arroyo Guevara, D. Mcquillan, R.B. Richter, G. Salazar, M. Sullivan, Journal of Graph Theory 97 (2021) 426–440.
2021 | Journal Article | IST-REx-ID: 9468 |
Extending drawings of complete graphs into arrangements of pseudocircles
A.M. Arroyo Guevara, R.B. Richter, M. Sunohara, SIAM Journal on Discrete Mathematics 35 (2021) 1050–1076.
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A.M. Arroyo Guevara, R.B. Richter, M. Sunohara, SIAM Journal on Discrete Mathematics 35 (2021) 1050–1076.
2021 | Journal Article | IST-REx-ID: 9548 |
Functional Löwner ellipsoids
G. Ivanov, I. Tsiutsiurupa, Journal of Geometric Analysis 31 (2021) 11493–11528.
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G. Ivanov, I. Tsiutsiurupa, Journal of Geometric Analysis 31 (2021) 11493–11528.
2021 | Journal Article | IST-REx-ID: 10181 |
Rectifiable curves in proximally smooth sets
G. Ivanov, M.S. Lopushanski, Set-Valued and Variational Analysis (2021).
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G. Ivanov, M.S. Lopushanski, Set-Valued and Variational Analysis (2021).
2021 | Journal Article | IST-REx-ID: 10220 |
Eliminating higher-multiplicity intersections. III. Codimension 2
S. Avvakumov, I. Mabillard, A.B. Skopenkov, U. Wagner, Israel Journal of Mathematics 245 (2021) 501–534.
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S. Avvakumov, I. Mabillard, A.B. Skopenkov, U. Wagner, Israel Journal of Mathematics 245 (2021) 501–534.
2021 | Journal Article | IST-REx-ID: 10856 |
On the volume of sections of the cube
G. Ivanov, I. Tsiutsiurupa, Analysis and Geometry in Metric Spaces 9 (2021) 1–18.
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G. Ivanov, I. Tsiutsiurupa, Analysis and Geometry in Metric Spaces 9 (2021) 1–18.
2021 | Journal Article | IST-REx-ID: 10860 |
Tight frames and related geometric problems
G. Ivanov, Canadian Mathematical Bulletin 64 (2021) 942–963.
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G. Ivanov, Canadian Mathematical Bulletin 64 (2021) 942–963.
2020 | Conference Paper | IST-REx-ID: 7806 |
Embeddability of simplicial complexes is undecidable
M. Filakovský, U. Wagner, S.Y. Zhechev, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2020, pp. 767–785.
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M. Filakovský, U. Wagner, S.Y. Zhechev, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2020, pp. 767–785.
2020 | Conference Paper | IST-REx-ID: 7991 |
Homotopic curve shortening and the affine curve-shortening flow
S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
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S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 | Conference Paper | IST-REx-ID: 7989 |
Bounding radon number via Betti numbers
Z. Patakova, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
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Z. Patakova, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 | Conference Paper | IST-REx-ID: 7992 |
Barycentric cuts through a convex body
Z. Patakova, M. Tancer, U. Wagner, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
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Z. Patakova, M. Tancer, U. Wagner, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 | Conference Paper | IST-REx-ID: 7994 |
Extending drawings of graphs to arrangements of pseudolines
A.M. Arroyo Guevara, J. Bensmail, R. Bruce Richter, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
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A.M. Arroyo Guevara, J. Bensmail, R. Bruce Richter, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 | Conference Paper | IST-REx-ID: 7990 |
Connectivity of triangulation flip graphs in the plane (Part II: Bistellar flips)
U. Wagner, E. Welzl, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
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U. Wagner, E. Welzl, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 | Conference Paper | IST-REx-ID: 7807 |
Connectivity of triangulation flip graphs in the plane (Part I: Edge flips)
U. Wagner, E. Welzl, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2020, pp. 2823–2841.
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U. Wagner, E. Welzl, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2020, pp. 2823–2841.
2020 | Journal Article | IST-REx-ID: 9308 |
Eliminating higher-multiplicity intersections, III. Codimension 2
S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical Surveys 75 (2020) 1156–1158.
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S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical Surveys 75 (2020) 1156–1158.
2020 | Journal Article | IST-REx-ID: 6563 |
Are two given maps homotopic? An algorithmic viewpoint
M. Filakovský, L. Vokřínek, Foundations of Computational Mathematics 20 (2020) 311–330.
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M. Filakovský, L. Vokřínek, Foundations of Computational Mathematics 20 (2020) 311–330.
2020 | Journal Article | IST-REx-ID: 7960 |
Intersection patterns of planar sets
G. Kalai, Z. Patakova, Discrete and Computational Geometry 64 (2020) 304–323.
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G. Kalai, Z. Patakova, Discrete and Computational Geometry 64 (2020) 304–323.
2020 | Conference Paper | IST-REx-ID: 8732
Inserting one edge into a simple drawing is hard
A.M. Arroyo Guevara, F. Klute, I. Parada, R. Seidel, B. Vogtenhuber, T. Wiedera, in:, Graph-Theoretic Concepts in Computer Science, Springer Nature, 2020, pp. 325–338.
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A.M. Arroyo Guevara, F. Klute, I. Parada, R. Seidel, B. Vogtenhuber, T. Wiedera, in:, Graph-Theoretic Concepts in Computer Science, Springer Nature, 2020, pp. 325–338.
2020 | Thesis | IST-REx-ID: 7944 |
Reconfiguration problems
Z. Masárová, Reconfiguration Problems, Institute of Science and Technology Austria, 2020.
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Z. Masárová, Reconfiguration Problems, Institute of Science and Technology Austria, 2020.
2020 | Thesis | IST-REx-ID: 8032 |
Combinatorial width parameters for 3-dimensional manifolds
K. Huszár, Combinatorial Width Parameters for 3-Dimensional Manifolds, Institute of Science and Technology Austria, 2020.
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K. Huszár, Combinatorial Width Parameters for 3-Dimensional Manifolds, Institute of Science and Technology Austria, 2020.
2020 | Thesis | IST-REx-ID: 8156 |
Topological methods in geometry and discrete mathematics
S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, Institute of Science and Technology Austria, 2020.
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S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, Institute of Science and Technology Austria, 2020.
2020 | Conference Paper | IST-REx-ID: 15082 |
Disjoint tree-compatible plane perfect matchings
O. Aichholzer, J. Obmann, P. Patak, D. Perz, J. Tkadlec, in:, 36th European Workshop on Computational Geometry, 2020.
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O. Aichholzer, J. Obmann, P. Patak, D. Perz, J. Tkadlec, in:, 36th European Workshop on Computational Geometry, 2020.
2019 | Conference Paper | IST-REx-ID: 7401 |
Z_2-Genus of graphs and minimum rank of partial symmetric matrices
R. Fulek, J. Kyncl, in:, 35th International Symposium on Computational Geometry (SoCG 2019), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019.
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R. Fulek, J. Kyncl, in:, 35th International Symposium on Computational Geometry (SoCG 2019), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019.
2019 | Journal Article | IST-REx-ID: 5790 |
Extending partial representations of circle graphs
S. Chaplick, R. Fulek, P. Klavík, Journal of Graph Theory 91 (2019) 365–394.
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S. Chaplick, R. Fulek, P. Klavík, Journal of Graph Theory 91 (2019) 365–394.
2019 | Journal Article | IST-REx-ID: 5857 |
Thrackles: An improved upper bound
R. Fulek, J. Pach, Discrete Applied Mathematics 259 (2019) 266–231.
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R. Fulek, J. Pach, Discrete Applied Mathematics 259 (2019) 266–231.
2019 | Journal Article | IST-REx-ID: 6638 |
Graphs with at most one crossing
A. Silva, A.M. Arroyo Guevara, B. Richter, O. Lee, Discrete Mathematics 342 (2019) 3201–3207.
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A. Silva, A.M. Arroyo Guevara, B. Richter, O. Lee, Discrete Mathematics 342 (2019) 3201–3207.
2019 | Journal Article | IST-REx-ID: 7034 |
Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4
R. Fulek, J. Kynčl, Combinatorica 39 (2019) 1267–1279.
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R. Fulek, J. Kynčl, Combinatorica 39 (2019) 1267–1279.
2019 | Journal Article | IST-REx-ID: 7108 |
Shellability is NP-complete
X. Goaoc, P. Patak, Z. Patakova, M. Tancer, U. Wagner, Journal of the ACM 66 (2019).
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X. Goaoc, P. Patak, Z. Patakova, M. Tancer, U. Wagner, Journal of the ACM 66 (2019).
2019 | Conference Paper | IST-REx-ID: 7230 |
Extending simple drawings
A.M. Arroyo Guevara, M. Derka, I. Parada, in:, 27th International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2019, pp. 230–243.
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A.M. Arroyo Guevara, M. Derka, I. Parada, in:, 27th International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2019, pp. 230–243.
2019 | Thesis | IST-REx-ID: 6681 |
Algorithmic aspects of homotopy theory and embeddability
S.Y. Zhechev, Algorithmic Aspects of Homotopy Theory and Embeddability, Institute of Science and Technology Austria, 2019.
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S.Y. Zhechev, Algorithmic Aspects of Homotopy Theory and Embeddability, Institute of Science and Technology Austria, 2019.
2019 | Preprint | IST-REx-ID: 8182 |
Vanishing of all equivariant obstructions and the mapping degree
S. Avvakumov, S. Kudrya, ArXiv (n.d.).
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S. Avvakumov, S. Kudrya, ArXiv (n.d.).
2019 | Preprint | IST-REx-ID: 8185 |
Envy-free division using mapping degree
S. Avvakumov, R. Karasev, ArXiv (n.d.).
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S. Avvakumov, R. Karasev, ArXiv (n.d.).
2019 | Journal Article | IST-REx-ID: 5986 |
A proof of the orbit conjecture for flipping edge-labelled triangulations
A. Lubiw, Z. Masárová, U. Wagner, Discrete & Computational Geometry 61 (2019) 880–898.
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A. Lubiw, Z. Masárová, U. Wagner, Discrete & Computational Geometry 61 (2019) 880–898.
2019 | Conference Paper | IST-REx-ID: 6556 |
3-manifold triangulations with small treewidth
K. Huszár, J. Spreer, in:, 35th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 44:1-44:20.
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K. Huszár, J. Spreer, in:, 35th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 44:1-44:20.
2019 | Journal Article | IST-REx-ID: 7093 |
On the treewidth of triangulated 3-manifolds
K. Huszár, J. Spreer, U. Wagner, Journal of Computational Geometry 10 (2019) 70–98.
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K. Huszár, J. Spreer, U. Wagner, Journal of Computational Geometry 10 (2019) 70–98.
2019 | Preprint | IST-REx-ID: 8184 |
Stronger counterexamples to the topological Tverberg conjecture
S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).
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S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).
2019 | Journal Article | IST-REx-ID: 6982 |
Recognizing weak embeddings of graphs
H. Akitaya, R. Fulek, C. Tóth, ACM Transactions on Algorithms 15 (2019).
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H. Akitaya, R. Fulek, C. Tóth, ACM Transactions on Algorithms 15 (2019).
2019 | Conference Paper | IST-REx-ID: 6647 |
The crossing Tverberg theorem
R. Fulek, B. Gärtner, A. Kupavskii, P. Valtr, U. Wagner, in:, 35th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 38:1-38:13.
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R. Fulek, B. Gärtner, A. Kupavskii, P. Valtr, U. Wagner, in:, 35th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 38:1-38:13.
2019 | Preprint | IST-REx-ID: 7950 |
Token swapping on trees
A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, ArXiv (n.d.).
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A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, ArXiv (n.d.).
2018 | Conference Paper | IST-REx-ID: 185 |
Hanani-Tutte for approximating maps of graphs
R. Fulek, J. Kynčl, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
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R. Fulek, J. Kynčl, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
2018 | Conference Paper | IST-REx-ID: 186 |
The ℤ2-Genus of Kuratowski minors
R. Fulek, J. Kynčl, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 40.1-40.14.
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R. Fulek, J. Kynčl, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 40.1-40.14.
2018 | Conference Paper | IST-REx-ID: 433 |
Thrackles: An improved upper bound
R. Fulek, J. Pach, in:, Springer, 2018, pp. 160–166.
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R. Fulek, J. Pach, in:, Springer, 2018, pp. 160–166.
2018 | Conference Paper | IST-REx-ID: 184 |
Shellability is NP-complete
X. Goaoc, P. Paták, Z. Patakova, M. Tancer, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 41:1-41:16.
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X. Goaoc, P. Paták, Z. Patakova, M. Tancer, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 41:1-41:16.
2018 | Conference Paper | IST-REx-ID: 285 |
On the treewidth of triangulated 3-manifolds
K. Huszár, J. Spreer, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
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K. Huszár, J. Spreer, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
2018 | Journal Article | IST-REx-ID: 6774 |
Computing simplicial representatives of homotopy group elements
M. Filakovský, P. Franek, U. Wagner, S.Y. Zhechev, Journal of Applied and Computational Topology 2 (2018) 177–231.
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M. Filakovský, P. Franek, U. Wagner, S.Y. Zhechev, Journal of Applied and Computational Topology 2 (2018) 177–231.
2018 | Conference Paper | IST-REx-ID: 5791 |
Crossing minimization in perturbed drawings
R. Fulek, C.D. Tóth, in:, Springer, 2018, pp. 229–241.
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R. Fulek, C.D. Tóth, in:, Springer, 2018, pp. 229–241.
2018 | Journal Article | IST-REx-ID: 425 |
Embeddability in the 3-Sphere is decidable
J. Matoušek, E. Sedgwick, M. Tancer, U. Wagner, Journal of the ACM 65 (2018).
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J. Matoušek, E. Sedgwick, M. Tancer, U. Wagner, Journal of the ACM 65 (2018).
2018 | Conference Paper | IST-REx-ID: 309 |
Recognizing weak embeddings of graphs
H. Akitaya, R. Fulek, C. Tóth, in:, ACM, 2018, pp. 274–292.
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H. Akitaya, R. Fulek, C. Tóth, in:, ACM, 2018, pp. 274–292.
2018 | Journal Article | IST-REx-ID: 5960 |
Proving the existence of loops in robot trajectories
S. Rohou, P. Franek, C. Aubry, L. Jaulin, The International Journal of Robotics Research 37 (2018) 1500–1516.
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S. Rohou, P. Franek, C. Aubry, L. Jaulin, The International Journal of Robotics Research 37 (2018) 1500–1516.
2018 | Journal Article | IST-REx-ID: 6355 |
Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
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A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).