Morteza Saghafian

16 Publications

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[16]
2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
H. Edelsbrunner, A. Garber, and M. Saghafian, “Order-2 Delaunay triangulations optimize angles,” Advances in Mathematics, vol. 461. Elsevier, 2025.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[15]
2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
H. Edelsbrunner, A. Garber, and M. Saghafian, “On spheres with k points inside,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
[Published Version] View | Files available | DOI | arXiv
 
[14]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19937
M. Mahini, H. Beigy, S. Qadami, and M. Saghafian, “Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality,” Information Sciences, vol. 719, no. 11. Elsevier, 2025.
View | DOI | WoS
 
[13]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20456 | OA | PlanS
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” Discrete and Computational Geometry. Springer Nature, 2025.
[Published Version] View | Files available | DOI | Download Published Version (ext.) | arXiv
 
[12]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20490 | OA
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “Flips in two-dimensional hypertriangulations,” European Journal of Combinatorics, vol. 132. Elsevier, 2025.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[11]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” Foundations of Data Science, vol. 8. American Institute of Mathematical Sciences, pp. 30–62, 2025.
[Preprint] View | Files available | DOI | arXiv
 
[10]
2024 | Published | Conference Paper | IST-REx-ID: 17145 | OA
G. Rote, M. Rüber, and M. Saghafian, “Grid peeling of parabolas,” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
[Published Version] View | Files available | DOI | arXiv
 
[9]
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic topological data analysis,” arXiv. .
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[8]
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “The Euclidean MST-ratio for bi-colored lattices,” in 32nd International Symposium on Graph Drawing and Network Visualization, Vienna, Austria, 2024, vol. 320.
[Published Version] View | Files available | DOI | arXiv
 
[7]
2024 | Published | Journal Article | IST-REx-ID: 14345 | OA
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “On angles in higher order Brillouin tessellations and related tilings in the plane,” Discrete and Computational Geometry, vol. 72. Springer Nature, pp. 29–48, 2024.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[6]
2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Geometric characterization of the persistence of 1D maps,” Journal of Applied and Computational Topology, vol. 8. Springer Nature, pp. 1101–1119, 2024.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[5]
2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth in arrangements: Dehn–Sommerville–Euler relations with applications,” Journal of Applied and Computational Topology, vol. 8. Springer Nature, pp. 557–578, 2024.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[4]
2024 | Published | Conference Paper | IST-REx-ID: 15012 | OA
J. Pach, M. Saghafian, and P. Schnider, “Decomposition of geometric graphs into star-forests,” in 31st International Symposium on Graph Drawing and Network Visualization, Isola delle Femmine, Palermo, Italy, 2024, vol. 14465, pp. 339–346.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[3]
2024 | Draft | Preprint | IST-REx-ID: 15091 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” arXiv. .
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[2]
2022 | Draft | Journal Article | IST-REx-ID: 11658 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “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
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” arXiv. .
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
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16 Publications

Mark all

[16]
2025 | Published | Journal Article | IST-REx-ID: 18626 | OA
H. Edelsbrunner, A. Garber, and M. Saghafian, “Order-2 Delaunay triangulations optimize angles,” Advances in Mathematics, vol. 461. Elsevier, 2025.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[15]
2025 | Published | Conference Paper | IST-REx-ID: 20005 | OA
H. Edelsbrunner, A. Garber, and M. Saghafian, “On spheres with k points inside,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
[Published Version] View | Files available | DOI | arXiv
 
[14]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19937
M. Mahini, H. Beigy, S. Qadami, and M. Saghafian, “Simplet-based signatures and approximation in simplicial complexes: Frequency, degree, and centrality,” Information Sciences, vol. 719, no. 11. Elsevier, 2025.
View | DOI | WoS
 
[13]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20456 | OA | PlanS
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” Discrete and Computational Geometry. Springer Nature, 2025.
[Published Version] View | Files available | DOI | Download Published Version (ext.) | arXiv
 
[12]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20490 | OA
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “Flips in two-dimensional hypertriangulations,” European Journal of Combinatorics, vol. 132. Elsevier, 2025.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[11]
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20585
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” Foundations of Data Science, vol. 8. American Institute of Mathematical Sciences, pp. 30–62, 2025.
[Preprint] View | Files available | DOI | arXiv
 
[10]
2024 | Published | Conference Paper | IST-REx-ID: 17145 | OA
G. Rote, M. Rüber, and M. Saghafian, “Grid peeling of parabolas,” in 40th International Symposium on Computational Geometry, Athens, Greece, 2024, vol. 293.
[Published Version] View | Files available | DOI | arXiv
 
[9]
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic topological data analysis,” arXiv. .
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[8]
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “The Euclidean MST-ratio for bi-colored lattices,” in 32nd International Symposium on Graph Drawing and Network Visualization, Vienna, Austria, 2024, vol. 320.
[Published Version] View | Files available | DOI | arXiv
 
[7]
2024 | Published | Journal Article | IST-REx-ID: 14345 | OA
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, and M. Saghafian, “On angles in higher order Brillouin tessellations and related tilings in the plane,” Discrete and Computational Geometry, vol. 72. Springer Nature, pp. 29–48, 2024.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[6]
2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Geometric characterization of the persistence of 1D maps,” Journal of Applied and Computational Topology, vol. 8. Springer Nature, pp. 1101–1119, 2024.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[5]
2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth in arrangements: Dehn–Sommerville–Euler relations with applications,” Journal of Applied and Computational Topology, vol. 8. Springer Nature, pp. 557–578, 2024.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[4]
2024 | Published | Conference Paper | IST-REx-ID: 15012 | OA
J. Pach, M. Saghafian, and P. Schnider, “Decomposition of geometric graphs into star-forests,” in 31st International Symposium on Graph Drawing and Network Visualization, Isola delle Femmine, Palermo, Italy, 2024, vol. 14465, pp. 339–346.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[3]
2024 | Draft | Preprint | IST-REx-ID: 15091 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” arXiv. .
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[2]
2022 | Draft | Journal Article | IST-REx-ID: 11658 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “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
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” arXiv. .
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
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Citation Style: IEEE

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