Algorithms for Embeddings and Homotopy Theory
Project Period: 2018-05-01 – 2022-04-30
Funder:
Austrian Science Fund
Principal Investigator
Department(s)
Grant Number
P31312
Grant DOI
Funder
Austrian Science Fund
Funder Schema
FWF-StA
Funder Registry
8 Publications
2024 | Published | Conference Paper | IST-REx-ID: 15168 |

Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs
M. Filakovský, T.V. Nakajima, J. Opršal, G. Tasinato, U. Wagner, in:, 41st International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
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M. Filakovský, T.V. Nakajima, J. Opršal, G. Tasinato, U. Wagner, in:, 41st International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
2021 | Published | 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.
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 | 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 | Published | 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.
2019 | Draft | 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 | Draft | 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 | Draft | 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.).