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41 Publications
2023 | Journal Article | IST-REx-ID: 12287 |

Local criteria for triangulating general manifolds
J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete & Computational Geometry 69 (2023) 156–191.
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J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete & Computational Geometry 69 (2023) 156–191.
2023 | Journal Article | IST-REx-ID: 12709 |

Computing the multicover bifiltration
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry (2023).
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| arXiv
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry (2023).
2023 | Journal Article | IST-REx-ID: 12764 |

Discrete yamabe problem for polyhedral surfaces
H. Kourimska, Discrete and Computational Geometry (2023).
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H. Kourimska, Discrete and Computational Geometry (2023).
2022 | Journal Article | IST-REx-ID: 10773 |

Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry 67 (2022) 811–842.
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry 67 (2022) 811–842.
2022 | Journal Article | IST-REx-ID: 10776 |

Barycentric cuts through a convex body
Z. Patakova, M. Tancer, U. Wagner, Discrete and Computational Geometry 68 (2022) 1133–1154.
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Z. Patakova, M. Tancer, U. Wagner, Discrete and Computational Geometry 68 (2022) 1133–1154.
2022 | Journal Article | IST-REx-ID: 11593 |

The Z2-Genus of Kuratowski minors
R. Fulek, J. Kynčl, Discrete and Computational Geometry (2022).
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| arXiv
R. Fulek, J. Kynčl, Discrete and Computational Geometry (2022).
2022 | Journal Article | IST-REx-ID: 12129 |

Connectivity of triangulation flip graphs in the plane
U. Wagner, E. Welzl, Discrete & Computational Geometry 68 (2022) 1227–1284.
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U. Wagner, E. Welzl, Discrete & Computational Geometry 68 (2022) 1227–1284.
2022 | Journal Article | IST-REx-ID: 11999 |

Inserting one edge into a simple drawing is hard
A.M. Arroyo Guevara, F. Klute, I. Parada, B. Vogtenhuber, R. Seidel, T. Wiedera, Discrete and Computational Geometry (2022).
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| arXiv
A.M. Arroyo Guevara, F. Klute, I. Parada, B. Vogtenhuber, R. Seidel, T. Wiedera, Discrete and Computational Geometry (2022).
2021 | Journal Article | IST-REx-ID: 11446
Vanishing of all equivariant obstructions and the mapping degree
S. Avvakumov, S. Kudrya, Discrete & Computational Geometry 66 (2021) 1202–1216.
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| arXiv
S. Avvakumov, S. Kudrya, Discrete & Computational Geometry 66 (2021) 1202–1216.
2021 | Journal Article | IST-REx-ID: 8940 |

Triangulating submanifolds: An elementary and quantified version of Whitney’s method
J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, Discrete & Computational Geometry 66 (2021) 386–434.
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J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, Discrete & Computational Geometry 66 (2021) 386–434.
2021 | Journal Article | IST-REx-ID: 9317 |

The multi-cover persistence of Euclidean balls
H. Edelsbrunner, G.F. Osang, Discrete and Computational Geometry 65 (2021) 1296–1313.
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H. Edelsbrunner, G.F. Osang, Discrete and Computational Geometry 65 (2021) 1296–1313.
2020 | Journal Article | IST-REx-ID: 7905 |

Sheaf-theoretic stratification learning from geometric and topological perspectives
A. Brown, B. Wang, Discrete and Computational Geometry 65 (2020) 1166–1198.
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| arXiv
A. Brown, B. Wang, Discrete and Computational Geometry 65 (2020) 1166–1198.
2020 | Journal Article | IST-REx-ID: 8248 |

Local conditions for triangulating submanifolds of Euclidean space
J.-D. Boissonnat, R. Dyer, A. Ghosh, A. Lieutier, M. Wintraecken, Discrete and Computational Geometry 66 (2020) 666–686.
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J.-D. Boissonnat, R. Dyer, A. Ghosh, A. Lieutier, M. Wintraecken, Discrete and Computational Geometry 66 (2020) 666–686.
2020 | Journal Article | IST-REx-ID: 8338 |

On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs
A. Akopyan, A.I. Bobenko, W.K. Schief, J. Techter, Discrete and Computational Geometry 66 (2020) 938–976.
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| arXiv
A. Akopyan, A.I. Bobenko, W.K. Schief, J. Techter, Discrete and Computational Geometry 66 (2020) 938–976.
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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| arXiv
A. Lubiw, Z. Masárová, U. Wagner, Discrete & Computational Geometry 61 (2019) 880–898.
2013 | Journal Article | IST-REx-ID: 2815 |

Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions
H. Edelsbrunner, B.T. Fasy, G. Rote, Discrete & Computational Geometry 49 (2013) 797–822.
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H. Edelsbrunner, B.T. Fasy, G. Rote, Discrete & Computational Geometry 49 (2013) 797–822.
2001 | Journal Article | IST-REx-ID: 4007
Dynamic skin triangulation
H. Cheng, T. Dey, H. Edelsbrunner, J. Sullivan, Discrete & Computational Geometry 25 (2001) 525–568.
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H. Cheng, T. Dey, H. Edelsbrunner, J. Sullivan, Discrete & Computational Geometry 25 (2001) 525–568.
2001 | Journal Article | IST-REx-ID: 2419
A continuous analogue of the Upper Bound Theorem
U. Wagner, E. Welzl, Discrete & Computational Geometry 26 (2001) 205–219.
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U. Wagner, E. Welzl, Discrete & Computational Geometry 26 (2001) 205–219.
2000 | Journal Article | IST-REx-ID: 4004
Edgewise subdivision of a simplex
H. Edelsbrunner, D. Grayson, Discrete & Computational Geometry 24 (2000) 707–719.
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| DOI
H. Edelsbrunner, D. Grayson, Discrete & Computational Geometry 24 (2000) 707–719.
1999 | Journal Article | IST-REx-ID: 4014
Deformable smooth surface design
H. Edelsbrunner, Discrete & Computational Geometry 21 (1999) 87–115.
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| DOI
H. Edelsbrunner, Discrete & Computational Geometry 21 (1999) 87–115.