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315 Publications

Edelsbrunner, Herbert, and János Pach. “Maximum Betti Numbers of Čech Complexes.” Discrete & Computational Geometry, vol. 75, Springer Nature, 2026, pp. 597–624, doi:10.1007/s00454-025-00796-5.

[Published Version] View | Files available | DOI | WoS | arXiv

Zava, Nicolò. “Coarse and Bi-Lipschitz Embeddability of Subspaces of the Gromov–Hausdorff Space into Hilbert Spaces.” Algebraic & Geometric Topology, vol. 25, no. 8, Mathematical Sciences Publishers, 2025, pp. 5153–74, doi:10.2140/agt.2025.25.5153.

[Published Version] View | Files available | DOI | arXiv

2025 | Published | Journal Article | IST-REx-ID: 21253 |

Pach, János, et al. “Decomposition of Geometric Graphs into Star-Forests.” Computational Geometry, vol. 129, 102186, Elsevier, 2025, doi:10.1016/j.comgeo.2025.102186.

[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv

2025 | Published | Journal Article | IST-REx-ID: 17149 |

Edelsbrunner, Herbert, and Anton Nikitenko. “Average and Expected Distortion of Voronoi Paths and Scapes.” Discrete & Computational Geometry, vol. 73, Springer Nature, 2025, pp. 490–99, doi:10.1007/s00454-024-00660-y.

2025 | Published | Journal Article | IST-REx-ID: 18626 |

Edelsbrunner, Herbert, et al. “Order-2 Delaunay Triangulations Optimize Angles.” Advances in Mathematics, vol. 461, 110055, Elsevier, 2025, doi:10.1016/j.aim.2024.110055.

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2025 | Published | Thesis | PhD | IST-REx-ID: 18979 |

Draganov, Ondrej. Structures and Computations in Topological Data Analysis. Institute of Science and Technology Austria, 2025, doi:10.15479/at:ista:18979.

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2025 | Published | Journal Article | IST-REx-ID: 19937

Mahini, Mohammad, et al. “Simplet-Based Signatures and Approximation in Simplicial Complexes: Frequency, Degree, and Centrality.” Information Sciences, vol. 719, no. 11, 122425, Elsevier, 2025, doi:10.1016/j.ins.2025.122425.

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2025 | Published | Conference Paper | IST-REx-ID: 20005 |

Edelsbrunner, Herbert, et al. “On Spheres with k Points Inside.” 41st International Symposium on Computational Geometry, vol. 332, 43, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025, doi:10.4230/LIPIcs.SoCG.2025.43.

[Published Version] View | Files available | DOI | arXiv

2025 | Published | Conference Paper | IST-REx-ID: 20006 |

Ost, Lara, et al. “Banana Trees for the Persistence in Time Series Experimentally.” 41st International Symposium on Computational Geometry, vol. 332, 71, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025, doi:10.4230/LIPIcs.SoCG.2025.71.

[Published Version] View | Files available | DOI | arXiv

Chambers, Erin Wolf, et al. “Burning or Collapsing the Medial Axis Is Unstable.” La Matematica, vol. 4, Springer Nature, 2025, pp. 811–28, doi:10.1007/s44007-025-00170-0.

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Akopyan, Arseniy, et al. “Tight Bounds between the Jensen–Shannon Divergence and the Minmax Divergence.” Entropy, vol. 27, no. 8, 854, MDPI, 2025, doi:10.3390/e27080854.

Brown, Adam, and Ondrej Draganov. “Discrete Microlocal Morse Theory.” Journal of Pure and Applied Algebra, vol. 229, no. 10, 108068, Elsevier, 2025, doi:10.1016/j.jpaa.2025.108068.

[Published Version] View | Files available | DOI | arXiv

2025 | Published | Conference Paper | IST-REx-ID: 20658 |

Edelsbrunner, Herbert, et al. “The Mid-Sphere Cousin of the Medial Axis Transform.” 4th International Joint Conference on Discrete Geometry and Mathematical Morphology, vol. 16296, Springer Nature, 2025, pp. 133–47, doi:10.1007/978-3-032-09544-2_10.

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2025 | Published | Conference Paper | IST-REx-ID: 20729 |

Gonzalez-Diaz, Rocio, et al. “Additive Partial Matchings for Persistent Homology.” Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation, Association for Computing Machinery, 2025, pp. 188–96, doi:10.1145/3747199.3747561.

[Published Version] View | Files available | DOI

2025 | Submitted | Preprint | IST-REx-ID: 21016 |

Bokor Bleile, Yossi, et al. “Identifying Cobordisms Using Kernel Persistence.” ArXiv, 2505.17858, doi:10.48550/arXiv.2505.17858.

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Edelsbrunner, Herbert, et al. “Counting Equilibria of the Electrostatic Potential.” ArXiv, 2501.05315, doi:10.48550/ARXIV.2501.05315.

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2024 | Published | Journal Article | IST-REx-ID: 13182 |

Biswas, Ranita, et al. “Geometric Characterization of the Persistence of 1D Maps.” Journal of Applied and Computational Topology, vol. 8, Springer Nature, 2024, pp. 1101–19, doi:10.1007/s41468-023-00126-9.

[Published Version] View | Files available | DOI | PubMed | Europe PMC

2024 | Published | Journal Article | IST-REx-ID: 14345 |

Edelsbrunner, Herbert, et al. “On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane.” Discrete and Computational Geometry, vol. 72, Springer Nature, 2024, pp. 29–48, doi:10.1007/s00454-023-00566-1.

2024 | Published | Conference Paper | IST-REx-ID: 14888 |

De Nooijer, Phoebe, et al. “Removing Popular Faces in Curve Arrangements.” 31st International Symposium on Graph Drawing and Network Visualization, vol. 14466, Springer Nature, 2024, pp. 18–33, doi:10.1007/978-3-031-49275-4_2.

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Pach, János, et al. “Decomposition of Geometric Graphs into Star-Forests.” 31st International Symposium on Graph Drawing and Network Visualization, vol. 14465, Springer Nature, 2024, pp. 339–46, doi:10.1007/978-3-031-49272-3_23.

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315 Publications

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