Morteza Saghafian
20 Publications
2026 |
Published |
Conference Paper |
IST-REx-ID: 21374 |
Antić T, Džuklevski A, Fiala J, Kratochvíl J, Liotta G, Saghafian M, Saumell M, Zink J. 2026. Edge-constrained Hamiltonian paths on a point set. 51st International Conference on Current Trends in Theory and Practice of Computer Science. SOFSEM: Conference on Current Trends in Theory and Practice of Computer Science, LNCS, vol. 16448, 532–546.
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| arXiv
2026 |
Published |
Conference Paper |
IST-REx-ID: 21410 |
Jabal Ameli A, Motiei F, Saghafian M. 2026. On the MST-ratio: Theoretical bounds and complexity of finding the maximum. 20th International Conference and Workshops on Algorithms and Computation. WALCOM: International Conference and Workshops on Algorithms and Computation, LNCS, vol. 16444, 386–401.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 21781 |
Dumitrescu A, Pach J, Saghafian M, Scott A. 2026. Covering complete geometric graphs by monotone paths. Combinatorics and Number Theory. 15(1), 73–82.
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| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 20456 |
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|
Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. 2026. On the size of chromatic Delaunay mosaics. Discrete and Computational Geometry. 75, 24–47.
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| WoS
| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 20490 |
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. 2026. Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. 132, 104248.
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| WoS
| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 20585 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. 2026. Chromatic alpha complexes. Foundations of Data Science. 8, 30–62.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 21253 |
Pach J, Saghafian M, Schnider P. 2025. Decomposition of geometric graphs into star-forests. Computational Geometry. 129, 102186.
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 18626 |
Edelsbrunner H, Garber A, Saghafian M. 2025. Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. 461, 110055.
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| WoS
| arXiv
2025 |
Published |
Conference Paper |
IST-REx-ID: 20005 |
Edelsbrunner H, Garber A, Saghafian M. 2025. On spheres with k points inside. 41st International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 332, 43.
[Published Version]
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| Files available
| DOI
| 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. 72, 29–48.
[Published Version]
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| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
earlier version | 2024 |
Published |
Conference Paper |
IST-REx-ID: 15012 |
Pach J, Saghafian M, Schnider P. 2024. Decomposition of geometric graphs into star-forests. 31st International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LNCS, vol. 14465, 339–346.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
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. 8, 557–578.
[Published Version]
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| Files available
| DOI
| PubMed | Europe PMC
2024 |
Published |
Conference Paper |
IST-REx-ID: 17145 |
Rote G, Rüber M, Saghafian M. 2024. Grid peeling of parabolas. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 76.
[Published Version]
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| Files available
| DOI
| 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. 32nd International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LIPIcs, vol. 320, 3.
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
2024 |
Submitted |
Preprint |
IST-REx-ID: 18999 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic topological data analysis. arXiv, 2406.04102.
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| arXiv
earlier version | 2024 |
Draft |
Preprint |
IST-REx-ID: 15091 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.
[Preprint]
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| Files available
| DOI
| Download Preprint (ext.)
| 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. 8, 1101–1119.
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
earlier version | 2022 |
Draft |
Journal Article |
IST-REx-ID: 11658 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics.
[Submitted Version]
View
| Files available
earlier version | 2022 |
Draft |
Preprint |
IST-REx-ID: 15090 |
Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. arXiv, 2212.03121.
[Preprint]
View
| Files available
| Download Preprint (ext.)
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20 Publications
2026 |
Published |
Conference Paper |
IST-REx-ID: 21374 |
Antić T, Džuklevski A, Fiala J, Kratochvíl J, Liotta G, Saghafian M, Saumell M, Zink J. 2026. Edge-constrained Hamiltonian paths on a point set. 51st International Conference on Current Trends in Theory and Practice of Computer Science. SOFSEM: Conference on Current Trends in Theory and Practice of Computer Science, LNCS, vol. 16448, 532–546.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2026 |
Published |
Conference Paper |
IST-REx-ID: 21410 |
Jabal Ameli A, Motiei F, Saghafian M. 2026. On the MST-ratio: Theoretical bounds and complexity of finding the maximum. 20th International Conference and Workshops on Algorithms and Computation. WALCOM: International Conference and Workshops on Algorithms and Computation, LNCS, vol. 16444, 386–401.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 21781 |
Dumitrescu A, Pach J, Saghafian M, Scott A. 2026. Covering complete geometric graphs by monotone paths. Combinatorics and Number Theory. 15(1), 73–82.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 20456 |
|
|
Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. 2026. On the size of chromatic Delaunay mosaics. Discrete and Computational Geometry. 75, 24–47.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 20490 |
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. 2026. Flips in two-dimensional hypertriangulations. European Journal of Combinatorics. 132, 104248.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2026 |
Published |
Journal Article |
IST-REx-ID: 20585 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. 2026. Chromatic alpha complexes. Foundations of Data Science. 8, 30–62.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 21253 |
Pach J, Saghafian M, Schnider P. 2025. Decomposition of geometric graphs into star-forests. Computational Geometry. 129, 102186.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 18626 |
Edelsbrunner H, Garber A, Saghafian M. 2025. Order-2 Delaunay triangulations optimize angles. Advances in Mathematics. 461, 110055.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2025 |
Published |
Conference Paper |
IST-REx-ID: 20005 |
Edelsbrunner H, Garber A, Saghafian M. 2025. On spheres with k points inside. 41st International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 332, 43.
[Published Version]
View
| Files available
| DOI
| 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. 72, 29–48.
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
earlier version | 2024 |
Published |
Conference Paper |
IST-REx-ID: 15012 |
Pach J, Saghafian M, Schnider P. 2024. Decomposition of geometric graphs into star-forests. 31st International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LNCS, vol. 14465, 339–346.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
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. 8, 557–578.
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
2024 |
Published |
Conference Paper |
IST-REx-ID: 17145 |
Rote G, Rüber M, Saghafian M. 2024. Grid peeling of parabolas. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 76.
[Published Version]
View
| Files available
| DOI
| 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. 32nd International Symposium on Graph Drawing and Network Visualization. GD: Graph Drawing and Network Visualization, LIPIcs, vol. 320, 3.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2024 |
Submitted |
Preprint |
IST-REx-ID: 18999 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic topological data analysis. arXiv, 2406.04102.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
earlier version | 2024 |
Draft |
Preprint |
IST-REx-ID: 15091 |
Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| 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. 8, 1101–1119.
[Published Version]
View
| Files available
| DOI
| PubMed | Europe PMC
earlier version | 2022 |
Draft |
Journal Article |
IST-REx-ID: 11658 |
Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics.
[Submitted Version]
View
| Files available
earlier version | 2022 |
Draft |
Preprint |
IST-REx-ID: 15090 |
Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. arXiv, 2212.03121.
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv