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127 Publications

2020 | Thesis | IST-REx-ID: 8156 | OA
Avvakumov, Sergey. “Topological Methods in Geometry and Discrete Mathematics.” Institute of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:8156.
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2020 | Conference Paper | IST-REx-ID: 15082 | OA
Aichholzer, Oswin, Julia Obmann, Pavel Patak, Daniel Perz, and Josef Tkadlec. “Disjoint Tree-Compatible Plane Perfect Matchings.” In 36th European Workshop on Computational Geometry, 2020.
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2019 | Conference Paper | IST-REx-ID: 7401 | OA
Fulek, Radoslav, and Jan Kyncl. “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. https://doi.org/10.4230/LIPICS.SOCG.2019.39.
[Published Version] View | Files available | DOI | arXiv
 
2019 | Journal Article | IST-REx-ID: 5790 | OA
Chaplick, Steven, Radoslav Fulek, and Pavel Klavík. “Extending Partial Representations of Circle Graphs.” Journal of Graph Theory. Wiley, 2019. https://doi.org/10.1002/jgt.22436.
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2019 | Journal Article | IST-REx-ID: 5857 | OA
Fulek, Radoslav, and János Pach. “Thrackles: An Improved Upper Bound.” Discrete Applied Mathematics. Elsevier, 2019. https://doi.org/10.1016/j.dam.2018.12.025.
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2019 | Journal Article | IST-REx-ID: 6638 | OA
Silva, André , Alan M Arroyo Guevara, Bruce Richter, and Orlando Lee. “Graphs with at Most One Crossing.” Discrete Mathematics. Elsevier, 2019. https://doi.org/10.1016/j.disc.2019.06.031.
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2019 | Journal Article | IST-REx-ID: 7034 | OA
Fulek, Radoslav, and Jan Kynčl. “Counterexample to an Extension of the Hanani-Tutte Theorem on the Surface of Genus 4.” Combinatorica. Springer Nature, 2019. https://doi.org/10.1007/s00493-019-3905-7.
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2019 | Journal Article | IST-REx-ID: 7108 | OA
Goaoc, Xavier, Pavel Patak, Zuzana Patakova, Martin Tancer, and Uli Wagner. “Shellability Is NP-Complete.” Journal of the ACM. ACM, 2019. https://doi.org/10.1145/3314024.
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2019 | Conference Paper | IST-REx-ID: 7230 | OA
Arroyo Guevara, Alan M, Martin Derka, and Irene Parada. “Extending Simple Drawings.” In 27th International Symposium on Graph Drawing and Network Visualization, 11904:230–43. Springer Nature, 2019. https://doi.org/10.1007/978-3-030-35802-0_18.
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2019 | Thesis | IST-REx-ID: 6681 | OA
Zhechev, Stephan Y. “Algorithmic Aspects of Homotopy Theory and Embeddability.” Institute of Science and Technology Austria, 2019. https://doi.org/10.15479/AT:ISTA:6681.
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2019 | Preprint | IST-REx-ID: 8182 | OA
Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” ArXiv. arXiv, n.d.
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2019 | Preprint | IST-REx-ID: 8185 | OA
Avvakumov, Sergey, and Roman Karasev. “Envy-Free Division Using Mapping Degree.” ArXiv, n.d. https://doi.org/10.48550/arXiv.1907.11183.
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2019 | Journal Article | IST-REx-ID: 5986 | OA
Lubiw, Anna, Zuzana Masárová, and Uli Wagner. “A Proof of the Orbit Conjecture for Flipping Edge-Labelled Triangulations.” Discrete & Computational Geometry. Springer Nature, 2019. https://doi.org/10.1007/s00454-018-0035-8.
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2019 | Conference Paper | IST-REx-ID: 6556 | OA
Huszár, Kristóf, and Jonathan Spreer. “3-Manifold Triangulations with Small Treewidth.” In 35th International Symposium on Computational Geometry, 129:44:1-44:20. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPIcs.SoCG.2019.44.
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2019 | Journal Article | IST-REx-ID: 7093 | OA
Huszár, Kristóf, Jonathan Spreer, and Uli Wagner. “On the Treewidth of Triangulated 3-Manifolds.” Journal of Computational Geometry. Computational Geometry Laborartoy, 2019. https://doi.org/10.20382/JOGC.V10I2A5.
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2019 | Preprint | IST-REx-ID: 8184 | OA
Avvakumov, Sergey, R. Karasev, and A. Skopenkov. “Stronger Counterexamples to the Topological Tverberg Conjecture.” ArXiv. arXiv, n.d.
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2019 | Journal Article | IST-REx-ID: 6982 | OA
Akitaya, Hugo, Radoslav Fulek, and Csaba Tóth. “Recognizing Weak Embeddings of Graphs.” ACM Transactions on Algorithms. ACM, 2019. https://doi.org/10.1145/3344549.
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2019 | Conference Paper | IST-REx-ID: 6647 | OA
Fulek, Radoslav, Bernd Gärtner, Andrey Kupavskii, Pavel Valtr, and Uli Wagner. “The Crossing Tverberg Theorem.” In 35th International Symposium on Computational Geometry, 129:38:1-38:13. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.SOCG.2019.38.
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2019 | Preprint | IST-REx-ID: 7950 | OA
Biniaz, Ahmad, Kshitij Jain, Anna Lubiw, Zuzana Masárová, Tillmann Miltzow, Debajyoti Mondal, Anurag Murty Naredla, Josef Tkadlec, and Alexi Turcotte. “Token Swapping on Trees.” ArXiv, n.d.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
2018 | Conference Paper | IST-REx-ID: 185 | OA
Fulek, Radoslav, and Jan Kynčl. “Hanani-Tutte for Approximating Maps of Graphs,” Vol. 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018. https://doi.org/10.4230/LIPIcs.SoCG.2018.39.
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2018 | Conference Paper | IST-REx-ID: 186 | OA
Fulek, Radoslav, and Jan Kynčl. “The ℤ2-Genus of Kuratowski Minors,” 99:40.1-40.14. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018. https://doi.org/10.4230/LIPIcs.SoCG.2018.40.
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2018 | Conference Paper | IST-REx-ID: 433 | OA
Fulek, Radoslav, and János Pach. “Thrackles: An Improved Upper Bound,” 10692:160–66. Springer, 2018. https://doi.org/10.1007/978-3-319-73915-1_14.
[Submitted Version] View | Files available | DOI | Download Submitted Version (ext.) | arXiv
 
2018 | Conference Paper | IST-REx-ID: 184 | OA
Goaoc, Xavier, Pavel Paták, Zuzana Patakova, Martin Tancer, and Uli Wagner. “Shellability Is NP-Complete,” 99:41:1-41:16. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018. https://doi.org/10.4230/LIPIcs.SoCG.2018.41.
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2018 | Conference Paper | IST-REx-ID: 285 | OA
Huszár, Kristóf, Jonathan Spreer, and Uli Wagner. “On the Treewidth of Triangulated 3-Manifolds,” Vol. 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018. https://doi.org/10.4230/LIPIcs.SoCG.2018.46.
[Submitted Version] View | Files available | DOI | arXiv
 
2018 | Journal Article | IST-REx-ID: 6774 | OA
Filakovský, Marek, Peter Franek, Uli Wagner, and Stephan Y Zhechev. “Computing Simplicial Representatives of Homotopy Group Elements.” Journal of Applied and Computational Topology. Springer, 2018. https://doi.org/10.1007/s41468-018-0021-5.
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2018 | Conference Paper | IST-REx-ID: 5791 | OA
Fulek, Radoslav, and Csaba D. Tóth. “Crossing Minimization in Perturbed Drawings,” 11282:229–41. Springer, 2018. https://doi.org/10.1007/978-3-030-04414-5_16.
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2018 | Journal Article | IST-REx-ID: 425 | OA
Matoušek, Jiří, Eric Sedgwick, Martin Tancer, and Uli Wagner. “Embeddability in the 3-Sphere Is Decidable.” Journal of the ACM. ACM, 2018. https://doi.org/10.1145/3078632.
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2018 | Conference Paper | IST-REx-ID: 309 | OA
Akitaya, Hugo, Radoslav Fulek, and Csaba Tóth. “Recognizing Weak Embeddings of Graphs,” 274–92. ACM, 2018. https://doi.org/10.1137/1.9781611975031.20.
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2018 | Journal Article | IST-REx-ID: 5960 | OA
Rohou, Simon, Peter Franek, Clément Aubry, and Luc Jaulin. “Proving the Existence of Loops in Robot Trajectories.” The International Journal of Robotics Research. SAGE Publications, 2018. https://doi.org/10.1177/0278364918808367.
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2018 | Journal Article | IST-REx-ID: 6355 | OA
Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.” Forum of Mathematics, Sigma. Cambridge University Press, 2018. https://doi.org/10.1017/fms.2018.7.
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2018 | Journal Article | IST-REx-ID: 742 | OA
Dotterrer, Dominic, Tali Kaufman, and Uli Wagner. “On Expansion and Topological Overlap.” Geometriae Dedicata. Springer, 2018. https://doi.org/10.1007/s10711-017-0291-4.
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2017 | Journal Article | IST-REx-ID: 1113 | OA
Fulek, Radoslav, Michael Pelsmajer, and Marcus Schaefer. “Hanani-Tutte for Radial Planarity.” Journal of Graph Algorithms and Applications. Brown University, 2017. https://doi.org/10.7155/jgaa.00408.
[Published Version] View | Files available | DOI | arXiv
 
2017 | Journal Article | IST-REx-ID: 534 | OA
Burton, Benjamin, Arnaud N de Mesmay, and Uli Wagner. “Finding Non-Orientable Surfaces in 3-Manifolds.” Discrete & Computational Geometry. Springer, 2017. https://doi.org/10.1007/s00454-017-9900-0.
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2017 | Journal Article | IST-REx-ID: 568 | OA
Franek, Peter, and Marek Krcál. “Persistence of Zero Sets.” Homology, Homotopy and Applications. International Press, 2017. https://doi.org/10.4310/HHA.2017.v19.n2.a16.
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2017 | Journal Article | IST-REx-ID: 610 | OA
Goaoc, Xavier, Isaac Mabillard, Pavel Paták, Zuzana Patakova, Martin Tancer, and Uli Wagner. “On Generalized Heawood Inequalities for Manifolds: A van Kampen–Flores Type Nonembeddability Result.” Israel Journal of Mathematics. Springer, 2017. https://doi.org/10.1007/s11856-017-1607-7.
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2017 | Conference Paper | IST-REx-ID: 6517 | OA
Fulek, Radoslav. “Embedding Graphs into Embedded Graphs,” Vol. 92. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPICS.ISAAC.2017.34.
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2017 | Conference Paper | IST-REx-ID: 688 | OA
Edelsbrunner, Herbert, and Hubert Wagner. “Topological Data Analysis with Bregman Divergences,” 77:391–3916. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.SoCG.2017.39.
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2017 | Journal Article | IST-REx-ID: 701 | OA
Kynčl, Jan, and Zuzana Patakova. “On the Nonexistence of k Reptile Simplices in ℝ^3 and ℝ^4.” The Electronic Journal of Combinatorics. International Press, 2017.
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2017 | Journal Article | IST-REx-ID: 795 | OA
Fulek, Radoslav, Jan Kynčl, and Dömötör Pálvölgyi. “Unified Hanani Tutte Theorem.” Electronic Journal of Combinatorics. International Press, 2017. https://doi.org/10.37236/6663.
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2017 | Conference Paper | IST-REx-ID: 683 | OA
Lubiw, Anna, Zuzana Masárová, and Uli Wagner. “A Proof of the Orbit Conjecture for Flipping Edge Labelled Triangulations,” Vol. 77. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.SoCG.2017.49.
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2017 | Journal Article | IST-REx-ID: 1073 | OA
Čadek, Martin, Marek Krcál, and Lukáš Vokřínek. “Algorithmic Solvability of the Lifting Extension Problem.” Discrete & Computational Geometry. Springer, 2017. https://doi.org/10.1007/s00454-016-9855-6.
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2017 | Journal Article | IST-REx-ID: 793 | OA
Fulek, Radoslav, Hossein Mojarrad, Márton Naszódi, József Solymosi, Sebastian Stich, and May Szedlák. “On the Existence of Ordinary Triangles.” Computational Geometry: Theory and Applications. Elsevier, 2017. https://doi.org/10.1016/j.comgeo.2017.07.002.
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2017 | Journal Article | IST-REx-ID: 794 | OA
Fulek, Radoslav. “C-Planarity of Embedded Cyclic c-Graphs.” Computational Geometry: Theory and Applications. Elsevier, 2017. https://doi.org/10.1016/j.comgeo.2017.06.016.
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2017 | Book Chapter | IST-REx-ID: 424 | OA
Goaoc, Xavier, Pavel Paták, Zuzana Patakova, Martin Tancer, and Uli Wagner. “Bounding Helly Numbers via Betti Numbers.” In A Journey through Discrete Mathematics: A Tribute to Jiri Matousek, edited by Martin Loebl, Jaroslav Nešetřil, and Robin Thomas, 407–47. A Journey Through Discrete Mathematics. Springer, 2017. https://doi.org/10.1007/978-3-319-44479-6_17.
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2016 | Conference Paper | IST-REx-ID: 1237
Krcál, Marek, and Pawel Pilarczyk. “Computation of Cubical Steenrod Squares,” 9667:140–51. Springer, 2016. https://doi.org/10.1007/978-3-319-39441-1_13.
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2016 | Journal Article | IST-REx-ID: 1282 | OA
Gundert, Anna, and Uli Wagner. “On Eigenvalues of Random Complexes.” Israel Journal of Mathematics. Springer, 2016. https://doi.org/10.1007/s11856-016-1419-1.
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2016 | Conference Paper | IST-REx-ID: 1348 | OA
Fulek, Radoslav. “Bounded Embeddings of Graphs in the Plane,” 9843:31–42. Springer, 2016. https://doi.org/10.1007/978-3-319-44543-4_3.
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2016 | Conference Paper | IST-REx-ID: 1381 | OA
Mabillard, Isaac, and Uli Wagner. “Eliminating Higher-Multiplicity Intersections, II. The Deleted Product Criterion in the r-Metastable Range,” 51:51.1-51.12. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, 2016. https://doi.org/10.4230/LIPIcs.SoCG.2016.51.
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2016 | Journal Article | IST-REx-ID: 1408 | OA
Franek, Peter, and Marek Krcál. “On Computability and Triviality of Well Groups.” Discrete & Computational Geometry. Springer, 2016. https://doi.org/10.1007/s00454-016-9794-2.
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2016 | Journal Article | IST-REx-ID: 1522 | OA
Avvakumov, Sergey. “The Classification of Certain Linked 3-Manifolds in 6-Space.” Moscow Mathematical Journal. Independent University of Moscow, 2016. https://doi.org/10.17323/1609-4514-2016-16-1-1-25.
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