The Wittgenstein Prize
Project Period: 2019-07-01 – 2024-06-30
Externally Funded
Principal Investigator
Herbert Edelsbrunner
Department(s)
Edelsbrunner Group
Grant Number
Z00342
Funding Organisation
FWF
14 Publications
2020 | Journal Article | IST-REx-ID: 7962 |

Almost all string graphs are intersection graphs of plane convex sets
J. Pach, B. Reed, Y. Yuditsky, Discrete and Computational Geometry 63 (2020) 888–917.
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J. Pach, B. Reed, Y. Yuditsky, Discrete and Computational Geometry 63 (2020) 888–917.
2020 | Journal Article | IST-REx-ID: 8163 |

Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes
G. Vegter, M. Wintraecken, Studia Scientiarum Mathematicarum Hungarica 57 (2020) 193–199.
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G. Vegter, M. Wintraecken, Studia Scientiarum Mathematicarum Hungarica 57 (2020) 193–199.
2021 | Journal Article | IST-REx-ID: 8317 |

Folding polyominoes with holes into a cube
O. Aichholzer, H.A. Akitaya, K.C. Cheung, E.D. Demaine, M.L. Demaine, S.P. Fekete, L. Kleist, I. Kostitsyna, M. Löffler, Z. Masárová, K. Mundilova, C. Schmidt, Computational Geometry: Theory and Applications 93 (2021).
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O. Aichholzer, H.A. Akitaya, K.C. Cheung, E.D. Demaine, M.L. Demaine, S.P. Fekete, L. Kleist, I. Kostitsyna, M. Löffler, Z. Masárová, K. Mundilova, C. Schmidt, Computational Geometry: Theory and Applications 93 (2021).
2020 | Conference Paper | IST-REx-ID: 9299 |

Crossings between non-homotopic edges
J. Pach, G. Tardos, G. Tóth, in:, 28th International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2020, pp. 359–371.
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J. Pach, G. Tardos, G. Tóth, in:, 28th International Symposium on Graph Drawing and Network Visualization, Springer Nature, 2020, pp. 359–371.
2021 | Journal Article | IST-REx-ID: 9602 |

Erdős-Hajnal-type results for monotone paths
J. Pach, I. Tomon, Journal of Combinatorial Theory. Series B 151 (2021) 21–37.
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J. Pach, I. Tomon, Journal of Combinatorial Theory. Series B 151 (2021) 21–37.
2021 | Conference Paper | IST-REx-ID: 9604 |

Counting cells of order-k voronoi tessellations in ℝ3 with morse theory
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, in:, Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021.
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, in:, Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021.
2021 | Journal Article | IST-REx-ID: 10204
Topological signatures and stability of hexagonal close packing and Barlow stackings
G.F. Osang, H. Edelsbrunner, M. Saadatfar, Soft Matter 17 (2021) 9107–9115.
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| PubMed | Europe PMC
G.F. Osang, H. Edelsbrunner, M. Saadatfar, Soft Matter 17 (2021) 9107–9115.
2022 | Journal Article | IST-REx-ID: 11658 |

Depth in arrangements: Dehn–Sommerville–Euler relations with applications
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Leibniz International Proceedings on Mathematics (n.d.).
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Leibniz International Proceedings on Mathematics (n.d.).
2022 | Journal Article | IST-REx-ID: 11660 |

A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, LIPIcs (n.d.).
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, LIPIcs (n.d.).
2022 | Journal Article | IST-REx-ID: 11938 |

On compatible matchings
O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, Journal of Graph Algorithms and Applications 26 (2022) 225–240.
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| arXiv
O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, Journal of Graph Algorithms and Applications 26 (2022) 225–240.
2021 | 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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| arXiv
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.
2023 | Journal Article | IST-REx-ID: 12086 |

A simple algorithm for higher-order Delaunay mosaics and alpha shapes
Edelsbrunner, Herbert, A simple algorithm for higher-order Delaunay mosaics and alpha shapes. Algorithmica 85. 2023
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Edelsbrunner, Herbert, A simple algorithm for higher-order Delaunay mosaics and alpha shapes. Algorithmica 85. 2023
2021 | Journal Article | IST-REx-ID: 10222 |

The beauty of random polytopes inscribed in the 2-sphere
Akopyan, Arseniy, The beauty of random polytopes inscribed in the 2-sphere. Experimental Mathematics. 2021
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| arXiv
Akopyan, Arseniy, The beauty of random polytopes inscribed in the 2-sphere. Experimental Mathematics. 2021
2022 | Journal Article | IST-REx-ID: 10208 |

A context-aware dimension reduction framework for trajectory and health signal analyses
S. Goudarzi, M. Sharif, F. Karimipour, Journal of Ambient Intelligence and Humanized Computing 13 (2022) 2621–2635.
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S. Goudarzi, M. Sharif, F. Karimipour, Journal of Ambient Intelligence and Humanized Computing 13 (2022) 2621–2635.