Morteza Saghafian

19 Publications

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[19]
2026 | Published | Journal Article | IST-REx-ID: 20456 | OA | PlanS
Biswas, R., Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2026). On the size of chromatic Delaunay mosaics. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-025-00778-7
[Published Version] View | Files available | DOI | WoS | arXiv
 
[18]
2026 | Published | Conference Paper | IST-REx-ID: 21374 | OA
Antić, T., Džuklevski, A., Fiala, J., Kratochvíl, J., Liotta, G., Saghafian, M., … Zink, J. (2026). Edge-constrained Hamiltonian paths on a point set. In 51st International Conference on Current Trends in Theory and Practice of Computer Science (Vol. 16448, pp. 532–546). Krakow, Poland: Springer Nature. https://doi.org/10.1007/978-3-032-17801-5_39
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[17]
2026 | Published | Conference Paper | IST-REx-ID: 21410 | OA
Jabal Ameli, A., Motiei, F., & Saghafian, M. (2026). On the MST-ratio: Theoretical bounds and complexity of finding the maximum. In 20th International Conference and Workshops on Algorithms and Computation (Vol. 16444, pp. 386–401). Perugia, Italy: Springer Nature. https://doi.org/10.1007/978-981-95-7127-7_26
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[16]
2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
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
 
[15]
2025 | Published | Journal Article | IST-REx-ID: 19937
Mahini, M., Beigy, H., Qadami, S., & Saghafian, M. (2025). Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality. Information Sciences. Elsevier. https://doi.org/10.1016/j.ins.2025.122425
View | DOI | WoS
 
[14]
2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
Edelsbrunner, H., Garber, A., & Saghafian, M. (2025). On spheres with k points inside. In 41st International Symposium on Computational Geometry (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2025.43
[Published Version] View | Files available | DOI | arXiv
 
[13]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20490 | OA
Edelsbrunner, H., Garber, A., Ghafari, M., Heiss, T., & Saghafian, M. (2025). Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. Elsevier. https://doi.org/10.1016/j.ejc.2025.104248
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[12]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585
Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2025). Chromatic alpha complexes. Foundations of Data Science. American Institute of Mathematical Sciences. https://doi.org/10.3934/fods.2025003
[Preprint] View | Files available | DOI | arXiv
 
[11]
2025 | Published | Journal Article | IST-REx-ID: 21253 | OA
Pach, J., Saghafian, M., & Schnider, P. (2025). Decomposition of geometric graphs into star-forests. Computational Geometry. Elsevier. https://doi.org/10.1016/j.comgeo.2025.102186
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[10]
2024 | Published | Journal Article | IST-REx-ID: 14345 | OA
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
 
[9]
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
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 | WoS | arXiv
 
[8]
2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
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
 
[7]
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
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
 
[6]
2024 | Published | Conference Paper | IST-REx-ID: 15012 | OA
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 | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[5]
2024 | Draft | Preprint | IST-REx-ID: 15091 | OA
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
 
[4]
2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
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
 
[3]
2024 | Published | Conference Paper | IST-REx-ID: 17145 | OA
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
 
[2]
2022 | Draft | Journal Article | IST-REx-ID: 11658 | OA
Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (n.d.). Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[Submitted Version] View | Files available
 
[1]
2022 | Draft | Preprint | IST-REx-ID: 15090 | OA
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
 
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19 Publications

Mark all

[19]
2026 | Published | Journal Article | IST-REx-ID: 20456 | OA | PlanS
Biswas, R., Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2026). On the size of chromatic Delaunay mosaics. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-025-00778-7
[Published Version] View | Files available | DOI | WoS | arXiv
 
[18]
2026 | Published | Conference Paper | IST-REx-ID: 21374 | OA
Antić, T., Džuklevski, A., Fiala, J., Kratochvíl, J., Liotta, G., Saghafian, M., … Zink, J. (2026). Edge-constrained Hamiltonian paths on a point set. In 51st International Conference on Current Trends in Theory and Practice of Computer Science (Vol. 16448, pp. 532–546). Krakow, Poland: Springer Nature. https://doi.org/10.1007/978-3-032-17801-5_39
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[17]
2026 | Published | Conference Paper | IST-REx-ID: 21410 | OA
Jabal Ameli, A., Motiei, F., & Saghafian, M. (2026). On the MST-ratio: Theoretical bounds and complexity of finding the maximum. In 20th International Conference and Workshops on Algorithms and Computation (Vol. 16444, pp. 386–401). Perugia, Italy: Springer Nature. https://doi.org/10.1007/978-981-95-7127-7_26
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[16]
2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
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
 
[15]
2025 | Published | Journal Article | IST-REx-ID: 19937
Mahini, M., Beigy, H., Qadami, S., & Saghafian, M. (2025). Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality. Information Sciences. Elsevier. https://doi.org/10.1016/j.ins.2025.122425
View | DOI | WoS
 
[14]
2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
Edelsbrunner, H., Garber, A., & Saghafian, M. (2025). On spheres with k points inside. In 41st International Symposium on Computational Geometry (Vol. 332). Kanazawa, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2025.43
[Published Version] View | Files available | DOI | arXiv
 
[13]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20490 | OA
Edelsbrunner, H., Garber, A., Ghafari, M., Heiss, T., & Saghafian, M. (2025). Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. Elsevier. https://doi.org/10.1016/j.ejc.2025.104248
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[12]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585
Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (2025). Chromatic alpha complexes. Foundations of Data Science. American Institute of Mathematical Sciences. https://doi.org/10.3934/fods.2025003
[Preprint] View | Files available | DOI | arXiv
 
[11]
2025 | Published | Journal Article | IST-REx-ID: 21253 | OA
Pach, J., Saghafian, M., & Schnider, P. (2025). Decomposition of geometric graphs into star-forests. Computational Geometry. Elsevier. https://doi.org/10.1016/j.comgeo.2025.102186
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[10]
2024 | Published | Journal Article | IST-REx-ID: 14345 | OA
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
 
[9]
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
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 | WoS | arXiv
 
[8]
2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
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
 
[7]
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
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
 
[6]
2024 | Published | Conference Paper | IST-REx-ID: 15012 | OA
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 | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[5]
2024 | Draft | Preprint | IST-REx-ID: 15091 | OA
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
 
[4]
2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
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
 
[3]
2024 | Published | Conference Paper | IST-REx-ID: 17145 | OA
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
 
[2]
2022 | Draft | Journal Article | IST-REx-ID: 11658 | OA
Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (n.d.). Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[Submitted Version] View | Files available
 
[1]
2022 | Draft | Preprint | IST-REx-ID: 15090 | OA
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
 
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