Ongoing Projects
Algebraic Solutions of Fuchsian Differential Equations
Project Lead: Josef Schicho
Publications
2024
[Qi]
A tree-based algorithm for the integration of monomials in the Chow ring of the moduli space of stable marked curves of genus zero
Jiayue Qi
Journal of Symbolic Computation 122(102253), pp. -. 2024. ISSN: 0747-7171. [doi]@article{RISC6774,
author = {Jiayue Qi},
title = {{A tree-based algorithm for the integration of monomials in the Chow ring of the moduli space of stable marked curves of genus zero}},
language = {english},
journal = {Journal of Symbolic Computation},
volume = {122},
number = {102253},
pages = {--},
isbn_issn = {ISSN: 0747-7171},
year = {2024},
refereed = {yes},
length = {52},
url = {https://doi.org/10.1016/j.jsc.2023.102253}
}
author = {Jiayue Qi},
title = {{A tree-based algorithm for the integration of monomials in the Chow ring of the moduli space of stable marked curves of genus zero}},
language = {english},
journal = {Journal of Symbolic Computation},
volume = {122},
number = {102253},
pages = {--},
isbn_issn = {ISSN: 0747-7171},
year = {2024},
refereed = {yes},
length = {52},
url = {https://doi.org/10.1016/j.jsc.2023.102253}
}
[Schicho]
Calibrating figures
N. Lubbes, J. Schicho
Comp. Aided Geom. Design 112, pp. -. 2024. ISSN 1879-2332. [doi]@article{RISC7122,
author = {N. Lubbes and J. Schicho},
title = {{Calibrating figures}},
language = {english},
journal = {Comp. Aided Geom. Design},
volume = {112},
pages = {--},
isbn_issn = {ISSN 1879-2332},
year = {2024},
refereed = {yes},
length = {0},
url = {https://doi.org/10.1016/j.cagd.2024.102365}}
}
author = {N. Lubbes and J. Schicho},
title = {{Calibrating figures}},
language = {english},
journal = {Comp. Aided Geom. Design},
volume = {112},
pages = {--},
isbn_issn = {ISSN 1879-2332},
year = {2024},
refereed = {yes},
length = {0},
url = {https://doi.org/10.1016/j.cagd.2024.102365}}
}
2023
[Hoxhaj]
Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture
E. Hoxhaj, J.-M. Menjanahary, J. Schicho
J. AAECC, pp. -. 2023. 1432-0622. to appear. [doi]@article{RISC6879,
author = {E. Hoxhaj and J.-M. Menjanahary and J. Schicho},
title = {{Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture}},
language = {english},
journal = {J. AAECC},
pages = {--},
isbn_issn = {1432-0622},
year = {2023},
note = {to appear},
refereed = {yes},
length = {19},
url = {https://doi.org/10.1007/s00200-023-00600-y}
}
author = {E. Hoxhaj and J.-M. Menjanahary and J. Schicho},
title = {{Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture}},
language = {english},
journal = {J. AAECC},
pages = {--},
isbn_issn = {1432-0622},
year = {2023},
note = {to appear},
refereed = {yes},
length = {19},
url = {https://doi.org/10.1007/s00200-023-00600-y}
}
[Koutschan]
Representing piecewise linear functions by functions with small arity
C. Koutschan, B. Moser, A. Ponomarchuk, J. Schicho
J. AAECC, pp. -. 2023. 1432-0622.@article{RISC6880,
author = {C. Koutschan and B. Moser and A. Ponomarchuk and J. Schicho},
title = {{Representing piecewise linear functions by functions with small arity}},
language = {english},
journal = {J. AAECC},
pages = {--},
isbn_issn = {1432-0622},
year = {2023},
refereed = {yes},
length = {0}
}
author = {C. Koutschan and B. Moser and A. Ponomarchuk and J. Schicho},
title = {{Representing piecewise linear functions by functions with small arity}},
language = {english},
journal = {J. AAECC},
pages = {--},
isbn_issn = {1432-0622},
year = {2023},
refereed = {yes},
length = {0}
}
[Schicho]
Trilinear birational maps in dimension three
L. Buse, P. Gonz'alez-Maz'on, J. Schicho
M. Comp. 92, pp. 1837-1866. 2023. 0025-5718.@article{RISC6878,
author = {L. Buse and P. Gonz'alez-Maz'on and J. Schicho},
title = {{Trilinear birational maps in dimension three}},
language = {english},
journal = {M. Comp.},
volume = {92},
pages = {1837--1866},
isbn_issn = {0025-5718},
year = {2023},
refereed = {yes},
length = {30}
}
author = {L. Buse and P. Gonz'alez-Maz'on and J. Schicho},
title = {{Trilinear birational maps in dimension three}},
language = {english},
journal = {M. Comp.},
volume = {92},
pages = {1837--1866},
isbn_issn = {0025-5718},
year = {2023},
refereed = {yes},
length = {30}
}
[Schicho]
Apollonian-de Casteljau type algorithms for complex rational Bezier curves
B. J�ttler, J. Schicho, Z. Sir
CAGD 107, pp. -. 2023. 0167-8396.@article{RISC6881,
author = {B. J�ttler and J. Schicho and Z. Sir},
title = {{Apollonian-de Casteljau type algorithms for complex rational Bezier curves}},
language = {english},
journal = {CAGD},
volume = {107},
pages = {--},
isbn_issn = {0167-8396},
year = {2023},
refereed = {yes},
length = {0}
}
author = {B. J�ttler and J. Schicho and Z. Sir},
title = {{Apollonian-de Casteljau type algorithms for complex rational Bezier curves}},
language = {english},
journal = {CAGD},
volume = {107},
pages = {--},
isbn_issn = {0167-8396},
year = {2023},
refereed = {yes},
length = {0}
}
2022
[Grasegger]
Flexible placements of graphs with rotational symmetry
Sean Dewar, Georg Grasegger, Jan Legerský
In: 2nd IMA Conference on Mathematics of Robotics, W. Holderbaum, J.M. Selig (ed.), Springer Proceedings in Advanced Robotics 21, pp. 89-97. 2022. 978-3-030-91351-9. [doi]@inproceedings{RISC6387,
author = {Sean Dewar and Georg Grasegger and Jan Legerský},
title = {{Flexible placements of graphs with rotational symmetry}},
booktitle = {{2nd IMA Conference on Mathematics of Robotics}},
language = {english},
series = {Springer Proceedings in Advanced Robotics},
volume = {21},
pages = {89--97},
isbn_issn = {978-3-030-91351-9},
year = {2022},
editor = {W. Holderbaum and J.M. Selig},
refereed = {yes},
length = {9},
url = {https://doi.org/10.1007/978-3-030-91352-6_9}
}
author = {Sean Dewar and Georg Grasegger and Jan Legerský},
title = {{Flexible placements of graphs with rotational symmetry}},
booktitle = {{2nd IMA Conference on Mathematics of Robotics}},
language = {english},
series = {Springer Proceedings in Advanced Robotics},
volume = {21},
pages = {89--97},
isbn_issn = {978-3-030-91351-9},
year = {2022},
editor = {W. Holderbaum and J.M. Selig},
refereed = {yes},
length = {9},
url = {https://doi.org/10.1007/978-3-030-91352-6_9}
}
[Grasegger]
Zero-Sum Cycles in Flexible Non-triangular Polyhedra
Matteo Gallet, Georg Grasegger, Jan Legerský, Josef Schicho
In: 2nd IMA Conference on Mathematics of Robotics, W. Holderbaum, J.M. Selig (ed.), Springer Proceedings in Advanced Robotics 21, pp. 137-143. 2022. 978-3-030-91351-9. [doi]@inproceedings{RISC6388,
author = {Matteo Gallet and Georg Grasegger and Jan Legerský and Josef Schicho},
title = {{Zero-Sum Cycles in Flexible Non-triangular Polyhedra}},
booktitle = {{2nd IMA Conference on Mathematics of Robotics}},
language = {english},
series = {Springer Proceedings in Advanced Robotics},
volume = {21},
pages = {137--143},
isbn_issn = {978-3-030-91351-9},
year = {2022},
editor = {W. Holderbaum and J.M. Selig},
refereed = {yes},
length = {7},
url = {https://doi.org/10.1007/978-3-030-91352-6_14}
}
author = {Matteo Gallet and Georg Grasegger and Jan Legerský and Josef Schicho},
title = {{Zero-Sum Cycles in Flexible Non-triangular Polyhedra}},
booktitle = {{2nd IMA Conference on Mathematics of Robotics}},
language = {english},
series = {Springer Proceedings in Advanced Robotics},
volume = {21},
pages = {137--143},
isbn_issn = {978-3-030-91351-9},
year = {2022},
editor = {W. Holderbaum and J.M. Selig},
refereed = {yes},
length = {7},
url = {https://doi.org/10.1007/978-3-030-91352-6_14}
}
[Grasegger]
Zero-sum Cycles in Flexible Polyhedra
M. Gallet, G. Grasegger, J. Legersky, J. Schicho
Bull. LMS 54, pp. 112-125. 2022. 1469-2120.@article{RISC6662,
author = {M. Gallet and G. Grasegger and J. Legersky and J. Schicho},
title = {{Zero-sum Cycles in Flexible Polyhedra}},
language = {english},
journal = {Bull. LMS},
volume = {54},
pages = {112--125},
isbn_issn = {1469-2120},
year = {2022},
refereed = {yes},
length = {14}
}
author = {M. Gallet and G. Grasegger and J. Legersky and J. Schicho},
title = {{Zero-sum Cycles in Flexible Polyhedra}},
language = {english},
journal = {Bull. LMS},
volume = {54},
pages = {112--125},
isbn_issn = {1469-2120},
year = {2022},
refereed = {yes},
length = {14}
}
[Koutschan]
Approximation of convex polygons by polygons
C. Koutschan, A. Ponomarchuk, J. Schicho
In: 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), C. Schneider et al. (ed.), pp. 91-98. 2022. IEEE, 978-1-6654-0650-5.@inproceedings{RISC6877,
author = {C. Koutschan and A. Ponomarchuk and J. Schicho },
title = {{Approximation of convex polygons by polygons}},
booktitle = {{23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)}},
language = {english},
pages = {91--98},
publisher = {IEEE},
isbn_issn = {978-1-6654-0650-5},
year = {2022},
editor = {C. Schneider et al.},
refereed = {yes},
length = {8}
}
author = {C. Koutschan and A. Ponomarchuk and J. Schicho },
title = {{Approximation of convex polygons by polygons}},
booktitle = {{23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)}},
language = {english},
pages = {91--98},
publisher = {IEEE},
isbn_issn = {978-1-6654-0650-5},
year = {2022},
editor = {C. Schneider et al.},
refereed = {yes},
length = {8}
}
[Schicho]
And Yet it Moves - Paradoxically Moving Linkages in Kinematics
J. Schicho
Bulletin AMS 59, pp. 59-95. 2022. ISSN 0273-0979. [doi]@article{RISC6474,
author = {J. Schicho},
title = {{And Yet it Moves -- Paradoxically Moving Linkages in Kinematics}},
language = {english},
journal = {Bulletin AMS},
volume = {59},
pages = {59--95},
isbn_issn = {ISSN 0273-0979},
year = {2022},
refereed = {yes},
length = {37},
url = {https://doi.org/10.1090/bull/1721}
}
author = {J. Schicho},
title = {{And Yet it Moves -- Paradoxically Moving Linkages in Kinematics}},
language = {english},
journal = {Bulletin AMS},
volume = {59},
pages = {59--95},
isbn_issn = {ISSN 0273-0979},
year = {2022},
refereed = {yes},
length = {37},
url = {https://doi.org/10.1090/bull/1721}
}
[Schicho]
Classification of higher mobility closed-loop linkages
T. Duarte Guerreiro, Z. Li, J. Schicho
Annali di Matematica Pura et Applicata, pp. -. 2022. 0373-3114.@article{RISC6663,
author = {T. Duarte Guerreiro and Z. Li and J. Schicho},
title = {{Classification of higher mobility closed-loop linkages}},
language = {english},
journal = {Annali di Matematica Pura et Applicata},
pages = {--},
isbn_issn = {0373-3114},
year = {2022},
refereed = {yes},
length = {0}
}
author = {T. Duarte Guerreiro and Z. Li and J. Schicho},
title = {{Classification of higher mobility closed-loop linkages}},
language = {english},
journal = {Annali di Matematica Pura et Applicata},
pages = {--},
isbn_issn = {0373-3114},
year = {2022},
refereed = {yes},
length = {0}
}
[Schicho]
A new line-symmetric mobile infinity-pod
M. Gallet, J. Schicho
Confl. Math. 14, pp. 35-47. 2022. 1793-7442.@article{RISC6664,
author = {M. Gallet and J. Schicho},
title = {{A new line-symmetric mobile infinity-pod}},
language = {english},
journal = {Confl. Math.},
volume = {14},
pages = {35--47},
isbn_issn = {1793-7442},
year = {2022},
refereed = {yes},
length = {13}
}
author = {M. Gallet and J. Schicho},
title = {{A new line-symmetric mobile infinity-pod}},
language = {english},
journal = {Confl. Math.},
volume = {14},
pages = {35--47},
isbn_issn = {1793-7442},
year = {2022},
refereed = {yes},
length = {13}
}
[Schicho]
Projective isomorphisms between rational surfaces
B. J�ttler, N. Lubbes, J. Schicho
J. Algebra 54, pp. 112-125. 2022. 0021-8693.@article{RISC6668,
author = {B. J�ttler and N. Lubbes and J. Schicho},
title = {{Projective isomorphisms between rational surfaces}},
language = {english},
journal = {J. Algebra},
volume = {54},
pages = {112--125},
isbn_issn = { 0021-8693},
year = {2022},
refereed = {yes},
length = {14}
}
author = {B. J�ttler and N. Lubbes and J. Schicho},
title = {{Projective isomorphisms between rational surfaces}},
language = {english},
journal = {J. Algebra},
volume = {54},
pages = {112--125},
isbn_issn = { 0021-8693},
year = {2022},
refereed = {yes},
length = {14}
}
2021
[Grasegger]
Combinatorics of Bricard's octahedra
M. Gallet, G. Grasegger, J. Legerský, J. Schicho
Comptes Rendus. Mathématique 359(1), pp. 7-38. 2021. Académie des sciences, Paris, ISSN 1631-073X. [doi]@article{RISC6288,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Combinatorics of Bricard's octahedra}},
language = {english},
journal = {Comptes Rendus. Mathématique},
volume = {359},
number = {1},
pages = {7--38},
publisher = {Académie des sciences, Paris},
isbn_issn = {ISSN 1631-073X},
year = {2021},
refereed = {yes},
length = {32},
url = {https://doi.org/10.5802/crmath.132}
}
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Combinatorics of Bricard's octahedra}},
language = {english},
journal = {Comptes Rendus. Mathématique},
volume = {359},
number = {1},
pages = {7--38},
publisher = {Académie des sciences, Paris},
isbn_issn = {ISSN 1631-073X},
year = {2021},
refereed = {yes},
length = {32},
url = {https://doi.org/10.5802/crmath.132}
}
[Grasegger]
On the Existence of Paradoxical Motions of Generically Rigid Graphs on the Sphere
M. Gallet, G. Grasegger, J. Legerský, J. Schicho
SIAM Journal on Discrete Mathematics 35(1), pp. 325-361. 2021. ISSN 0895-4801. [doi]@article{RISC6290,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{On the Existence of Paradoxical Motions of Generically Rigid Graphs on the Sphere}},
language = {english},
journal = {SIAM Journal on Discrete Mathematics},
volume = {35},
number = {1},
pages = {325--361},
isbn_issn = {ISSN 0895-4801},
year = {2021},
refereed = {yes},
length = {37},
url = {https://doi.org/10.1137/19M1289467}
}
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{On the Existence of Paradoxical Motions of Generically Rigid Graphs on the Sphere}},
language = {english},
journal = {SIAM Journal on Discrete Mathematics},
volume = {35},
number = {1},
pages = {325--361},
isbn_issn = {ISSN 0895-4801},
year = {2021},
refereed = {yes},
length = {37},
url = {https://doi.org/10.1137/19M1289467}
}
[Grasegger]
Bracing frameworks consisting of parallelograms
Georg Grasegger, Jan Legerský
The Art of Discrete and Applied Mathematics Accepted Manuscripts, pp. --. 2021. 2590-9770. [doi]@article{RISC6389,
author = {Georg Grasegger and Jan Legerský},
title = {{Bracing frameworks consisting of parallelograms}},
language = {english},
journal = {The Art of Discrete and Applied Mathematics},
volume = {Accepted Manuscripts},
pages = {----},
isbn_issn = {2590-9770},
year = {2021},
refereed = {yes},
length = {0},
url = {https://doi.org/10.26493/2590-9770.1379.7a4}
}
author = {Georg Grasegger and Jan Legerský},
title = {{Bracing frameworks consisting of parallelograms}},
language = {english},
journal = {The Art of Discrete and Applied Mathematics},
volume = {Accepted Manuscripts},
pages = {----},
isbn_issn = {2590-9770},
year = {2021},
refereed = {yes},
length = {0},
url = {https://doi.org/10.26493/2590-9770.1379.7a4}
}
[Legersky]
On the maximal number of real embeddings of minimally rigid graphs in R2, R3 and S2
E. Bartzos, I.Z. Emiris, J. Legerský, E. Tsigaridas
Journal of Symbolic Computation 102, pp. 189-208. 2021. ISSN 0747-7171. [doi]@article{RISC5992,
author = {E. Bartzos and I.Z. Emiris and J. Legerský and E. Tsigaridas},
title = {{On the maximal number of real embeddings of minimally rigid graphs in R2, R3 and S2}},
language = {english},
journal = {Journal of Symbolic Computation},
volume = {102},
pages = {189--208},
isbn_issn = {ISSN 0747-7171},
year = {2021},
refereed = {yes},
length = {20},
url = {https://doi.org/10.1016/j.jsc.2019.10.015}
}
author = {E. Bartzos and I.Z. Emiris and J. Legerský and E. Tsigaridas},
title = {{On the maximal number of real embeddings of minimally rigid graphs in R2, R3 and S2}},
language = {english},
journal = {Journal of Symbolic Computation},
volume = {102},
pages = {189--208},
isbn_issn = {ISSN 0747-7171},
year = {2021},
refereed = {yes},
length = {20},
url = {https://doi.org/10.1016/j.jsc.2019.10.015}
}
[Qi]
How to avoid collisions in 3D-realizations for moving graphs
Jiayue Qi
Mechanism and Machine Theory 162(104337), pp. -. 2021. ISSN 0094-114X. [doi]@article{RISC6772,
author = {Jiayue Qi},
title = {{How to avoid collisions in 3D-realizations for moving graphs}},
language = {english},
journal = {Mechanism and Machine Theory },
volume = {162},
number = {104337},
pages = {--},
isbn_issn = {ISSN 0094-114X},
year = {2021},
refereed = {yes},
length = {15},
url = {https://doi.org/10.1016/j.mechmachtheory.2021.104337}
}
author = {Jiayue Qi},
title = {{How to avoid collisions in 3D-realizations for moving graphs}},
language = {english},
journal = {Mechanism and Machine Theory },
volume = {162},
number = {104337},
pages = {--},
isbn_issn = {ISSN 0094-114X},
year = {2021},
refereed = {yes},
length = {15},
url = {https://doi.org/10.1016/j.mechmachtheory.2021.104337}
}
2020
[Capco]
Two remarks on sums of squares with rational coefficients
Jose Capco, Claus Scheiderer
Banach Center Publications 121, pp. 25-36. 2020. 0137-6934. [doi]@article{RISC5700,
author = {Jose Capco and Claus Scheiderer},
title = {{ Two remarks on sums of squares with rational coefficients}},
language = {english},
journal = {Banach Center Publications},
volume = {121},
pages = {25--36},
isbn_issn = {0137-6934},
year = {2020},
refereed = {yes},
length = {11},
url = {https://doi.org/10.4064/bc121-2}
}
author = {Jose Capco and Claus Scheiderer},
title = {{ Two remarks on sums of squares with rational coefficients}},
language = {english},
journal = {Banach Center Publications},
volume = {121},
pages = {25--36},
isbn_issn = {0137-6934},
year = {2020},
refereed = {yes},
length = {11},
url = {https://doi.org/10.4064/bc121-2}
}
[Capco]
Robots, computer algebra and 8 connected components
J. Capco, M. Safey el Din, J. Schicho
In: Proceedings of ISSAC 2020, I. Emiris, L. Zhi (ed.), pp. 62-69. 2020. 978-1-4503-7100-1. [url]@inproceedings{RISC6247,
author = {J. Capco and M. Safey el Din and J. Schicho},
title = {{Robots, computer algebra and 8 connected components}},
booktitle = {{Proceedings of ISSAC 2020}},
language = {english},
pages = {62--69},
isbn_issn = {978-1-4503-7100-1},
year = {2020},
editor = {I. Emiris and L. Zhi},
refereed = {yes},
length = {8},
url = {https://arxiv.org/abs/2008.13392}
}
author = {J. Capco and M. Safey el Din and J. Schicho},
title = {{Robots, computer algebra and 8 connected components}},
booktitle = {{Proceedings of ISSAC 2020}},
language = {english},
pages = {62--69},
isbn_issn = {978-1-4503-7100-1},
year = {2020},
editor = {I. Emiris and L. Zhi},
refereed = {yes},
length = {8},
url = {https://arxiv.org/abs/2008.13392}
}
[Grasegger]
Graphs with Flexible Labelings allowing Injective Realizations
G. Grasegger, J. Legerský, J. Schicho
Discrete Mathematics 343(6), pp. Art. 111713-. 2020. ISSN 0012-365X. [doi]@article{RISC6012,
author = {G. Grasegger and J. Legerský and J. Schicho},
title = {{Graphs with Flexible Labelings allowing Injective Realizations}},
language = {english},
journal = {Discrete Mathematics},
volume = {343},
number = {6},
pages = {Art. 111713--},
isbn_issn = {ISSN 0012-365X},
year = {2020},
refereed = {yes},
length = {14},
url = {https://doi.org/10.1016/j.disc.2019.111713}
}
author = {G. Grasegger and J. Legerský and J. Schicho},
title = {{Graphs with Flexible Labelings allowing Injective Realizations}},
language = {english},
journal = {Discrete Mathematics},
volume = {343},
number = {6},
pages = {Art. 111713--},
isbn_issn = {ISSN 0012-365X},
year = {2020},
refereed = {yes},
length = {14},
url = {https://doi.org/10.1016/j.disc.2019.111713}
}
[Grasegger]
Computing Animations of Linkages with Rotational Symmetry (Media Exposition)
Sean Dewar, Georg Grasegger, Jan Legerský
In: 36th International Symposium on Computational Geometry (SoCG 2020), Sergio Cabello and Danny Z. Chen (ed.), Leibniz International Proceedings in Informatics (LIPIcs) 164, pp. 77:1-77:4. 2020. Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, Germany, ISBN 978-3-95977-143-6. [doi]@inproceedings{RISC6128,
author = {Sean Dewar and Georg Grasegger and Jan Legerský},
title = {{Computing Animations of Linkages with Rotational Symmetry (Media Exposition)}},
booktitle = {{36th International Symposium on Computational Geometry (SoCG 2020)}},
language = {english},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
volume = {164},
pages = {77:1--77:4},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum für Informatik},
address = {Dagstuhl, Germany},
isbn_issn = {ISBN 978-3-95977-143-6},
year = {2020},
editor = {Sergio Cabello and Danny Z. Chen},
refereed = {no},
length = {4},
url = {https://doi.org/10.4230/LIPIcs.SoCG.2020.77}
}
author = {Sean Dewar and Georg Grasegger and Jan Legerský},
title = {{Computing Animations of Linkages with Rotational Symmetry (Media Exposition)}},
booktitle = {{36th International Symposium on Computational Geometry (SoCG 2020)}},
language = {english},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
volume = {164},
pages = {77:1--77:4},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum für Informatik},
address = {Dagstuhl, Germany},
isbn_issn = {ISBN 978-3-95977-143-6},
year = {2020},
editor = {Sergio Cabello and Danny Z. Chen},
refereed = {no},
length = {4},
url = {https://doi.org/10.4230/LIPIcs.SoCG.2020.77}
}
[Grasegger]
FlexRiLoG - A SageMath Package for Motions of Graphs
G. Grasegger, J. Legerský
In: Mathematical Software – ICMS 2020, Bigatti A., Carette J., Davenport J., Joswig M., de Wolff T. (ed.), Proceedings of ICMS 2020, Lecture Notes in Computer Science 12097, pp. 442-450. 2020. Springer, Cham, ISBN 978-3-030-52199-8. [doi]@inproceedings{RISC6182,
author = {G. Grasegger and J. Legerský},
title = {{FlexRiLoG - A SageMath Package for Motions of Graphs}},
booktitle = {{ Mathematical Software – ICMS 2020}},
language = {english},
series = {Lecture Notes in Computer Science},
volume = {12097},
pages = {442--450},
publisher = {Springer, Cham},
isbn_issn = {ISBN 978-3-030-52199-8},
year = {2020},
editor = {Bigatti A. and Carette J. and Davenport J. and Joswig M. and de Wolff T.},
refereed = {no},
length = {9},
conferencename = {ICMS 2020},
url = {https://doi.org/10.1007/978-3-030-52200-1_44}
}
author = {G. Grasegger and J. Legerský},
title = {{FlexRiLoG - A SageMath Package for Motions of Graphs}},
booktitle = {{ Mathematical Software – ICMS 2020}},
language = {english},
series = {Lecture Notes in Computer Science},
volume = {12097},
pages = {442--450},
publisher = {Springer, Cham},
isbn_issn = {ISBN 978-3-030-52199-8},
year = {2020},
editor = {Bigatti A. and Carette J. and Davenport J. and Joswig M. and de Wolff T.},
refereed = {no},
length = {9},
conferencename = {ICMS 2020},
url = {https://doi.org/10.1007/978-3-030-52200-1_44}
}
[Grasegger]
Zero-sum cycles in flexible polyhedra
M. Gallet, G. Grasegger, J. Legerský, J. Schicho
arXiv. Technical report, 2020. [url]@techreport{RISC6211,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Zero-sum cycles in flexible polyhedra}},
language = {english},
year = {2020},
institution = {arXiv},
length = {16},
url = {https://arxiv.org/abs/2009.14041}
}
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Zero-sum cycles in flexible polyhedra}},
language = {english},
year = {2020},
institution = {arXiv},
length = {16},
url = {https://arxiv.org/abs/2009.14041}
}
[Grasegger]
On the Classification of Motions of Paradoxically Movable Graphs
G. Grasegger, J. Legerský, J. Schicho
Journal of Computational Geometry 11(1), pp. 548-575. 2020. ISSN: 1920-180X. [doi]@article{RISC6239,
author = {G. Grasegger and J. Legerský and J. Schicho},
title = {{On the Classification of Motions of Paradoxically Movable Graphs}},
language = {english},
journal = {Journal of Computational Geometry},
volume = {11},
number = {1},
pages = {548--575},
isbn_issn = {ISSN: 1920-180X},
year = {2020},
refereed = {yes},
length = {27},
url = {https://doi.org/10.20382/jocg.v11i1a22}
}
author = {G. Grasegger and J. Legerský and J. Schicho},
title = {{On the Classification of Motions of Paradoxically Movable Graphs}},
language = {english},
journal = {Journal of Computational Geometry},
volume = {11},
number = {1},
pages = {548--575},
isbn_issn = {ISSN: 1920-180X},
year = {2020},
refereed = {yes},
length = {27},
url = {https://doi.org/10.20382/jocg.v11i1a22}
}
[Grasegger]
Counting realizations of {L}aman graphs on the sphere
M. Gallet, G. Grasegger, J. Schicho
Electronic Journal of Combinatorics 27(2), pp. 1-18. 2020. 1077-8926 . [url]@article{RISC6243,
author = {M. Gallet and G. Grasegger and J. Schicho},
title = {{Counting realizations of {L}aman graphs on the sphere}},
language = {english},
journal = {Electronic Journal of Combinatorics},
volume = {27},
number = {2},
pages = {1--18},
isbn_issn = {1077-8926 },
year = {2020},
refereed = {yes},
length = {18},
url = {https://arxiv.org/abs/1903.01145}
}
author = {M. Gallet and G. Grasegger and J. Schicho},
title = {{Counting realizations of {L}aman graphs on the sphere}},
language = {english},
journal = {Electronic Journal of Combinatorics},
volume = {27},
number = {2},
pages = {1--18},
isbn_issn = {1077-8926 },
year = {2020},
refereed = {yes},
length = {18},
url = {https://arxiv.org/abs/1903.01145}
}
[Li]
Invertible Paradoxic Loop Structures for Transformable Design
Li, Z. and Nawratil, G. and Rist, F. and Hensel, M.
Computer Graphics Forum, pp. 261-275. 2020. 1467-8659. [doi]@article{RISC6233,
author = {Li and Z. and Nawratil and G. and Rist and F. and Hensel and M.},
title = {{Invertible Paradoxic Loop Structures for Transformable Design}},
language = {english},
journal = {Computer Graphics Forum},
pages = {261--275},
isbn_issn = {1467-8659},
year = {2020},
refereed = {yes},
length = {15},
url = {http://doi.org/10.1111/cgf.13928}
}
author = {Li and Z. and Nawratil and G. and Rist and F. and Hensel and M.},
title = {{Invertible Paradoxic Loop Structures for Transformable Design}},
language = {english},
journal = {Computer Graphics Forum},
pages = {261--275},
isbn_issn = {1467-8659},
year = {2020},
refereed = {yes},
length = {15},
url = {http://doi.org/10.1111/cgf.13928}
}
[Schicho]
Probabilities of incidence between lines and a plane curve over finite field
M. Gallet, M. Makhul, J. Schicho
Finite Fields and Their Applications 61, pp. 1-22. 2020. 1071-5797.@article{RISC6073,
author = {M. Gallet and M. Makhul and J. Schicho},
title = {{Probabilities of incidence between lines and a plane curve over finite field}},
language = {english},
journal = {Finite Fields and Their Applications},
volume = {61},
pages = {1--22},
isbn_issn = {1071-5797},
year = {2020},
refereed = {yes},
length = {22}
}
author = {M. Gallet and M. Makhul and J. Schicho},
title = {{Probabilities of incidence between lines and a plane curve over finite field}},
language = {english},
journal = {Finite Fields and Their Applications},
volume = {61},
pages = {1--22},
isbn_issn = {1071-5797},
year = {2020},
refereed = {yes},
length = {22}
}
[Schicho]
On the multihomogeneous Bezout bound on the number of embeddings of minimally rigid graphs
V. Bartzos, I. Emiris, J. Schicho
Applicable Algebra in Engineering, Communication and Computing 31, pp. 325-357. 2020. 0938-1279. [url]@article{RISC6245,
author = {V. Bartzos and I. Emiris and J. Schicho},
title = {{On the multihomogeneous Bezout bound on the number of embeddings of minimally rigid graphs}},
language = {english},
journal = {Applicable Algebra in Engineering, Communication and Computing},
volume = {31},
pages = {325--357},
isbn_issn = {0938-1279},
year = {2020},
refereed = {yes},
length = {32},
url = {https://arxiv.org/abs/2005.14485}
}
author = {V. Bartzos and I. Emiris and J. Schicho},
title = {{On the multihomogeneous Bezout bound on the number of embeddings of minimally rigid graphs}},
language = {english},
journal = {Applicable Algebra in Engineering, Communication and Computing},
volume = {31},
pages = {325--357},
isbn_issn = {0938-1279},
year = {2020},
refereed = {yes},
length = {32},
url = {https://arxiv.org/abs/2005.14485}
}
[Schicho]
Counting Projections of Rational Curves
M. Gallet, J. Schicho
Israel Journal of Mathematics 240, pp. 503-538. 2020. 0021-2172 . [url]@article{RISC6246,
author = {M. Gallet and J. Schicho},
title = {{Counting Projections of Rational Curves}},
language = {english},
journal = {Israel Journal of Mathematics},
volume = {240},
pages = {503--538},
isbn_issn = {0021-2172 },
year = {2020},
refereed = {yes},
length = {36},
url = {https://arxiv.org/abs/1707.05264}
}
author = {M. Gallet and J. Schicho},
title = {{Counting Projections of Rational Curves}},
language = {english},
journal = {Israel Journal of Mathematics},
volume = {240},
pages = {503--538},
isbn_issn = {0021-2172 },
year = {2020},
refereed = {yes},
length = {36},
url = {https://arxiv.org/abs/1707.05264}
}
2019
[Capco]
Sum of Squares over Rationals
J. Capco, C. Scheiderer
RISC. Technical report, 2019. [url] [pdf]@techreport{RISC5884,
author = {J. Capco and C. Scheiderer},
title = {{Sum of Squares over Rationals}},
language = {english},
abstract = {Recently it has been shown that a multivariate (homogeneous) polynomialwith rational coefficients that can be written as a sum of squares offorms with real coefficients, is not necessarily a sum of squares offorms with rational coefficients. Essentially, only one constructionfor such forms is known, namely taking the $K/\Q$-norm of a sufficientlygeneral form with coefficients in a number field $K$. Whether thisconstruction yields a form with the desired properties depends onGalois-theoretic properties of $K$ that are not yet well understood.We construct new families of examples, and we shed new light on somewell-known open questions.},
year = {2019},
institution = {RISC},
length = {0},
url = {https://www3.risc.jku.at/~jcapco/public_files/ss18/sosq.html}
}
author = {J. Capco and C. Scheiderer},
title = {{Sum of Squares over Rationals}},
language = {english},
abstract = {Recently it has been shown that a multivariate (homogeneous) polynomialwith rational coefficients that can be written as a sum of squares offorms with real coefficients, is not necessarily a sum of squares offorms with rational coefficients. Essentially, only one constructionfor such forms is known, namely taking the $K/\Q$-norm of a sufficientlygeneral form with coefficients in a number field $K$. Whether thisconstruction yields a form with the desired properties depends onGalois-theoretic properties of $K$ that are not yet well understood.We construct new families of examples, and we shed new light on somewell-known open questions.},
year = {2019},
institution = {RISC},
length = {0},
url = {https://www3.risc.jku.at/~jcapco/public_files/ss18/sosq.html}
}
[Grasegger]
Graphs with Flexible Labelings
G. Grasegger, J. Legerský, J. Schicho
Discrete & Computational Geometry 62(2), pp. 461-480. 2019. 1432-0444. arXiv:1708.05298. [doi]@article{RISC5803,
author = {G. Grasegger and J. Legerský and J. Schicho},
title = {{Graphs with Flexible Labelings}},
language = {english},
journal = {Discrete & Computational Geometry},
volume = {62},
number = {2},
pages = {461--480},
isbn_issn = {1432-0444},
year = {2019},
note = {arXiv:1708.05298},
refereed = {yes},
length = {20},
url = {https://doi.org/10.1007/s00454-018-0026-9}
}
author = {G. Grasegger and J. Legerský and J. Schicho},
title = {{Graphs with Flexible Labelings}},
language = {english},
journal = {Discrete & Computational Geometry},
volume = {62},
number = {2},
pages = {461--480},
isbn_issn = {1432-0444},
year = {2019},
note = {arXiv:1708.05298},
refereed = {yes},
length = {20},
url = {https://doi.org/10.1007/s00454-018-0026-9}
}
[Legersky]
Flexible and Rigid Labelings of Graphs
Jan Legerský
Research Institute for Symbolic Computation, Johannes Kepler University Linz. PhD Thesis. 2019. [url] [pdf]@phdthesis{RISC5941,
author = {Jan Legerský},
title = {{Flexible and Rigid Labelings of Graphs}},
language = {english},
year = {2019},
translation = {0},
school = {Research Institute for Symbolic Computation, Johannes Kepler University Linz},
length = {108},
url = {https://jan.legersky.cz/project/movablegraphs/}
}
author = {Jan Legerský},
title = {{Flexible and Rigid Labelings of Graphs}},
language = {english},
year = {2019},
translation = {0},
school = {Research Institute for Symbolic Computation, Johannes Kepler University Linz},
length = {108},
url = {https://jan.legersky.cz/project/movablegraphs/}
}
[Qi]
How to avoid collision of 3D-realization for moving graphs
Jiayue Qi
Doctoral Program “Computational Mathematics”. Technical report, December 2019. [url]@techreport{RISC6791,
author = {Jiayue Qi},
title = {{How to avoid collision of 3D-realization for moving graphs}},
language = {english},
year = {2019},
month = {December},
institution = {Doctoral Program “Computational Mathematics”},
length = {14},
url = {https://www.dk-compmath.jku.at/publications/dk-reports/2019-12-16/view}
}
author = {Jiayue Qi},
title = {{How to avoid collision of 3D-realization for moving graphs}},
language = {english},
year = {2019},
month = {December},
institution = {Doctoral Program “Computational Mathematics”},
length = {14},
url = {https://www.dk-compmath.jku.at/publications/dk-reports/2019-12-16/view}
}
[Schicho]
Projective and affine symmetries and equivalences of rational and polynomial surfaces
M. Hauer, B. Jüttler, J. Schicho
J. Comp. Appl. Math. 349, pp. 424-437. 2019. 0377-0427.@article{RISC5875,
author = {M. Hauer and B. Jüttler and J. Schicho},
title = {{Projective and affine symmetries and equivalences of rational and polynomial surfaces}},
language = {english},
journal = {J. Comp. Appl. Math.},
volume = {349},
pages = {424--437},
isbn_issn = {0377-0427},
year = {2019},
refereed = {yes},
length = {14}
}
author = {M. Hauer and B. Jüttler and J. Schicho},
title = {{Projective and affine symmetries and equivalences of rational and polynomial surfaces}},
language = {english},
journal = {J. Comp. Appl. Math.},
volume = {349},
pages = {424--437},
isbn_issn = {0377-0427},
year = {2019},
refereed = {yes},
length = {14}
}
2018
[Grasegger]
Rational General Solutions of Systems of First-Order Partial Differential Equations
Georg Grasegger, Alberto Lastra, J. Rafael Sendra, Franz Winkler
Journal of Computational and Applied Mathematics 331, pp. 88-103. 2018. ISSN: 0377-0427.@article{RISC5509,
author = {Georg Grasegger and Alberto Lastra and J. Rafael Sendra and Franz Winkler},
title = {{Rational General Solutions of Systems of First-Order Partial Differential Equations}},
language = {english},
journal = {Journal of Computational and Applied Mathematics},
volume = {331},
pages = {88--103},
isbn_issn = {ISSN: 0377-0427},
year = {2018},
refereed = {yes},
length = {16}
}
author = {Georg Grasegger and Alberto Lastra and J. Rafael Sendra and Franz Winkler},
title = {{Rational General Solutions of Systems of First-Order Partial Differential Equations}},
language = {english},
journal = {Journal of Computational and Applied Mathematics},
volume = {331},
pages = {88--103},
isbn_issn = {ISSN: 0377-0427},
year = {2018},
refereed = {yes},
length = {16}
}
[Legersky]
On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs
E. Bartzos, I.Z. Emiris, J. Legerský, E. Tsigaridas
In: ISSAC '18 Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation, C. Arreche (ed.), Proceedings of International Symposium on Symbolic and Algebraic Computation 2018, pp. 55-62. 2018. 978-1-4503-5550-6. [doi]@inproceedings{RISC5804,
author = {E. Bartzos and I.Z. Emiris and J. Legerský and E. Tsigaridas},
title = {{On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs}},
booktitle = {{ISSAC '18 Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation}},
language = {english},
pages = {55--62},
isbn_issn = {978-1-4503-5550-6},
year = {2018},
editor = {C. Arreche},
refereed = {yes},
length = {8},
conferencename = {International Symposium on Symbolic and Algebraic Computation 2018},
url = {https://doi.org/10.1145/3208976.3208994}
}
author = {E. Bartzos and I.Z. Emiris and J. Legerský and E. Tsigaridas},
title = {{On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs}},
booktitle = {{ISSAC '18 Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation}},
language = {english},
pages = {55--62},
isbn_issn = {978-1-4503-5550-6},
year = {2018},
editor = {C. Arreche},
refereed = {yes},
length = {8},
conferencename = {International Symposium on Symbolic and Algebraic Computation 2018},
url = {https://doi.org/10.1145/3208976.3208994}
}
[Legersky]
Minimal non-integer alphabets allowing parallel addition
J. Legerský
Acta Polytechnica, Journal of Advanced Engineering 58(5), pp. 285-291. 2018. ISSN 1805-2363. [doi]@article{RISC5807,
author = {J. Legerský},
title = {{Minimal non-integer alphabets allowing parallel addition}},
language = {english},
journal = {Acta Polytechnica, Journal of Advanced Engineering},
volume = {58},
number = {5},
pages = {285--291},
isbn_issn = {ISSN 1805-2363},
year = {2018},
refereed = {yes},
length = {7},
url = {https://doi.org/10.14311/AP.2018.58.0285}
}
author = {J. Legerský},
title = {{Minimal non-integer alphabets allowing parallel addition}},
language = {english},
journal = {Acta Polytechnica, Journal of Advanced Engineering},
volume = {58},
number = {5},
pages = {285--291},
isbn_issn = {ISSN 1805-2363},
year = {2018},
refereed = {yes},
length = {7},
url = {https://doi.org/10.14311/AP.2018.58.0285}
}
[Schicho]
On sets defining few ordinary circles
A. Lin, M. Makhul, H. N. Mojarrad, J. Schicho, K. Swanepoel, F. de Zeeuw
Discrete and Computational Geometry 59, pp. 59-87. 2018. 0179-5376.@article{RISC5535,
author = {A. Lin and M. Makhul and H. N. Mojarrad and J. Schicho and K. Swanepoel and F. de Zeeuw},
title = {{On sets defining few ordinary circles}},
language = {english},
journal = {Discrete and Computational Geometry},
volume = {59},
pages = {59--87},
isbn_issn = {0179-5376},
year = {2018},
refereed = {yes},
length = {29}
}
author = {A. Lin and M. Makhul and H. N. Mojarrad and J. Schicho and K. Swanepoel and F. de Zeeuw},
title = {{On sets defining few ordinary circles}},
language = {english},
journal = {Discrete and Computational Geometry},
volume = {59},
pages = {59--87},
isbn_issn = {0179-5376},
year = {2018},
refereed = {yes},
length = {29}
}