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307 Publications

Biswas, Ranita, et al. “On the Size of Chromatic Delaunay Mosaics.” Discrete and Computational Geometry, vol. 75, Springer Nature, 2026, pp. 24–47, doi:10.1007/s00454-025-00778-7.

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

2026 | Published | Journal Article | IST-REx-ID: 20980 |

Dey, Tamal K., et al. “Computing a Connection Matrix and Persistence Efficiently from a Morse Decomposition.” SIAM Journal on Applied Dynamical Systems, vol. 25, no. 1, Society for Industrial & Applied Mathematics, 2026, pp. 108–30, doi:10.1137/25m1739406.

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2026 | Published | Thesis | PhD | IST-REx-ID: 21021 |

Fillmore, Christopher D. Braiding Geometry and Topology to Study Shapes and Data. Institute of Science and Technology Austria, 2026, doi:10.15479/AT-ISTA-21021.

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2026 | Draft | Preprint | IST-REx-ID: 21051 |

Chambers, Erin, et al. “Braiding Vineyards.” ArXiv, doi:10.48550/ARXIV.2504.11203.

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2026 | Published | Book Chapter | IST-REx-ID: 21056 |

Chambers, Erin W., et al. “Braiding Vineyards.” Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms, edited by Kasper Green Larsen and Barna Saha, Society for Industrial and Applied Mathematics, 2026, pp. 6240–63, doi:10.1137/1.9781611978971.225.

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Bleile, Yossi, et al. “Persistence Diagrams as Morphological Signatures of Cells: A Method to Measure and Compare Cells within a Population.” PLoS Computational Biology, vol. 22, e1013890, Public Library of Science, 2026, doi:10.1371/journal.pcbi.1013890.

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

Bleile, Yossi. “Towards Stratified Space Learning: 2-Complexes.” La Matematica, vol. 5, 17, Springer Nature, 2026, doi:10.1007/s44007-025-00183-9.

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

2026 | Published | Conference Paper | IST-REx-ID: 21374 |

Antić, Todor, et al. “Edge-Constrained Hamiltonian Paths on a Point Set.” 51st International Conference on Current Trends in Theory and Practice of Computer Science, vol. 16448, Springer Nature, 2026, pp. 532–46, doi:10.1007/978-3-032-17801-5_39.

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Edelsbrunner, Herbert, et al. “Maximum Persistent Betti Numbers of Čech Complexes.” Journal of Applied and Computational Topology, vol. 10, 5, Springer Nature, 2026, doi:10.1007/s41468-026-00233-3.

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

2026 | Published | Conference Paper | IST-REx-ID: 21410 |

Jabal Ameli, Afrouz, et al. “On the MST-Ratio: Theoretical Bounds and Complexity of Finding the Maximum.” 20th International Conference and Workshops on Algorithms and Computation, vol. 16444, Springer Nature, 2026, pp. 386–401, doi:10.1007/978-981-95-7127-7_26.

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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 | 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 | Epub ahead of print | Journal Article | IST-REx-ID: 20490 |

Edelsbrunner, Herbert, et al. “Flips in Two-Dimensional Hypertriangulations.” European Journal of Combinatorics, vol. 132, 104248, Elsevier, 2025, doi:10.1016/j.ejc.2025.104248.

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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585

Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” Foundations of Data Science, vol. 8, American Institute of Mathematical Sciences, 2025, pp. 30–62, doi:10.3934/fods.2025003.

[Preprint] View | Files available | DOI | arXiv

Edelsbrunner, Herbert, and János Pach. “Maximum Betti Numbers of Čech Complexes.” Discrete & Computational Geometry, Springer Nature, 2025, doi:10.1007/s00454-025-00796-5.

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307 Publications

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