Morteza Saghafian
Edelsbrunner Group
11 Publications
2025 | Published | Journal Article | IST-REx-ID: 18626 |

Edelsbrunner, H., Garber, A., & Saghafian, M. (2025). Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.110055
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| arXiv
2024 | Published | Conference Paper | IST-REx-ID: 17145 |

Rote, G., Rüber, M., & Saghafian, M. (2024). Grid peeling of parabolas. In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.76
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| arXiv
2024 | Submitted | Preprint | IST-REx-ID: 18999 |

Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (n.d.). Chromatic topological data analysis. arXiv. https://doi.org/10.48550/ARXIV.2406.04102
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2024 | Published | Conference Paper | IST-REx-ID: 15012 |

Pach, J., Saghafian, M., & Schnider, P. (2024). Decomposition of geometric graphs into star-forests. In 31st International Symposium on Graph Drawing and Network Visualization (Vol. 14465, pp. 339–346). Isola delle Femmine, Palermo, Italy: Springer Nature. https://doi.org/10.1007/978-3-031-49272-3_23
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2024 | Published | Conference Paper | IST-REx-ID: 18556 |

Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2024). The Euclidean MST-ratio for bi-colored lattices. In 32nd International Symposium on Graph Drawing and Network Visualization (Vol. 320). Vienna, Austria: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.GD.2024.3
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2024 | Draft | Preprint | IST-REx-ID: 15091 |

Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (n.d.). Chromatic alpha complexes. arXiv. https://doi.org/10.48550/arXiv.2212.03128
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2024 | Published | Journal Article | IST-REx-ID: 14345 |

Edelsbrunner, H., Garber, A., Ghafari, M., Heiss, T., & Saghafian, M. (2024). On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-023-00566-1
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2024 | Published | Journal Article | IST-REx-ID: 13182 |

Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (2024). Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology. Springer Nature. https://doi.org/10.1007/s41468-023-00126-9
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2024 | Published | Journal Article | IST-REx-ID: 15380 |

Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (2024). Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Journal of Applied and Computational Topology. Springer Nature. https://doi.org/10.1007/s41468-024-00173-w
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2022 | Draft | Preprint | IST-REx-ID: 15090 |

Biswas, R., Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (n.d.). On the size of chromatic Delaunay mosaics. arXiv.
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2022 | Draft | Journal Article | IST-REx-ID: 11658 |

Biswas, Ranita, Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics. 2022
[Submitted Version]
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Grants
11 Publications
2025 | Published | Journal Article | IST-REx-ID: 18626 |

Edelsbrunner, H., Garber, A., & Saghafian, M. (2025). Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.110055
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2024 | Published | Conference Paper | IST-REx-ID: 17145 |

Rote, G., Rüber, M., & Saghafian, M. (2024). Grid peeling of parabolas. In 40th International Symposium on Computational Geometry (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2024.76
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Submitted | Preprint | IST-REx-ID: 18999 |

Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (n.d.). Chromatic topological data analysis. arXiv. https://doi.org/10.48550/ARXIV.2406.04102
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Conference Paper | IST-REx-ID: 15012 |

Pach, J., Saghafian, M., & Schnider, P. (2024). Decomposition of geometric graphs into star-forests. In 31st International Symposium on Graph Drawing and Network Visualization (Vol. 14465, pp. 339–346). Isola delle Femmine, Palermo, Italy: Springer Nature. https://doi.org/10.1007/978-3-031-49272-3_23
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Conference Paper | IST-REx-ID: 18556 |

Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2024). The Euclidean MST-ratio for bi-colored lattices. In 32nd International Symposium on Graph Drawing and Network Visualization (Vol. 320). Vienna, Austria: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.GD.2024.3
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Draft | Preprint | IST-REx-ID: 15091 |

Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (n.d.). Chromatic alpha complexes. arXiv. https://doi.org/10.48550/arXiv.2212.03128
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 14345 |

Edelsbrunner, H., Garber, A., Ghafari, M., Heiss, T., & Saghafian, M. (2024). On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-023-00566-1
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 13182 |

Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (2024). Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology. Springer Nature. https://doi.org/10.1007/s41468-023-00126-9
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
2024 | Published | Journal Article | IST-REx-ID: 15380 |

Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (2024). Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Journal of Applied and Computational Topology. Springer Nature. https://doi.org/10.1007/s41468-024-00173-w
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
2022 | Draft | Preprint | IST-REx-ID: 15090 |

Biswas, R., Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (n.d.). On the size of chromatic Delaunay mosaics. arXiv.
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
2022 | Draft | Journal Article | IST-REx-ID: 11658 |

Biswas, Ranita, Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics. 2022
[Submitted Version]
View
| Files available