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133 Publications
2021 | Published | 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 | Published | 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 | Published | Conference Paper | IST-REx-ID: 9296 |

On compatible matchings
O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and Computation, Springer Nature, 2021, pp. 221–233.
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O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and Computation, Springer Nature, 2021, pp. 221–233.
2020 | Published | 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.
2020 | Published | 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 | Published | 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 | Published | 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 | Published | Conference Paper | IST-REx-ID: 7990 |

Connectivity of triangulation flip graphs in the plane (Part II: Bistellar flips)
Wagner, Uli, Connectivity of triangulation flip graphs in the plane (Part II: Bistellar flips). 36th International Symposium on Computational Geometry 164. 2020
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Wagner, Uli, Connectivity of triangulation flip graphs in the plane (Part II: Bistellar flips). 36th International Symposium on Computational Geometry 164. 2020
2020 | Published | Conference Paper | IST-REx-ID: 7989 |

Bounding radon number via Betti numbers
Patakova, Zuzana, Bounding radon number via Betti numbers. 36th International Symposium on Computational Geometry 164. 2020
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Patakova, Zuzana, Bounding radon number via Betti numbers. 36th International Symposium on Computational Geometry 164. 2020
2020 | Published | Conference Paper | IST-REx-ID: 7992 |

Barycentric cuts through a convex body
Patakova, Zuzana, Barycentric cuts through a convex body. 36th International Symposium on Computational Geometry 164. 2020
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Patakova, Zuzana, Barycentric cuts through a convex body. 36th International Symposium on Computational Geometry 164. 2020
2020 | Published | 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 | Published | 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 | Published | Conference Paper | IST-REx-ID: 7991 |

Homotopic curve shortening and the affine curve-shortening flow
Avvakumov, Sergey, Homotopic curve shortening and the affine curve-shortening flow. 36th International Symposium on Computational Geometry 164. 2020
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Avvakumov, Sergey, Homotopic curve shortening and the affine curve-shortening flow. 36th International Symposium on Computational Geometry 164. 2020
2020 | Published | Journal Article | IST-REx-ID: 6563 |

Are two given maps homotopic? An algorithmic viewpoint
Filakovský, Marek, Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics 20. 2020
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Filakovský, Marek, Are two given maps homotopic? An algorithmic viewpoint. Foundations of Computational Mathematics 20. 2020
2020 | Published | 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 | Published | 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 | Published | Conference Paper | IST-REx-ID: 7994 |

Extending drawings of graphs to arrangements of pseudolines
Arroyo Guevara, Alan M, Extending drawings of graphs to arrangements of pseudolines. 36th International Symposium on Computational Geometry 164. 2020
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Arroyo Guevara, Alan M, Extending drawings of graphs to arrangements of pseudolines. 36th International Symposium on Computational Geometry 164. 2020
2020 | Published | 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.
2019 | Published | 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 | Published | 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).