Symbolic Methods in Kinematics

Designing mechanical devices, called linkages, that perform a prescribed motion has been a topic that interested engineers and mathematicians for hundreds of years.

We apply techniques from algebraic geometry and symbolic computation to various problems in this area, for example the classification of closed 6R linkages, the study of pentapods and hexapods, or the construction of planar linkages. In this context, the concept of motion polynomial and the theory of bonds have been developed, which are powerful tools to answer questions arising in kinematics.

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]
[bib]
@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}
}
[Schicho]

Calibrating figures

N. Lubbes, J. Schicho

Comp. Aided Geom. Design 112, pp. -. 2024. ISSN 1879-2332. [doi]
[bib]
@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}}
}

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]
[bib]
@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}
}
[Koutschan]

Representing piecewise linear functions by functions with small arity

C. Koutschan, B. Moser, A. Ponomarchuk, J. Schicho

J. AAECC, pp. -. 2023. 1432-0622.
[bib]
@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}
}
[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.
[bib]
@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}
}
[Schicho]

Apollonian-de Casteljau type algorithms for complex rational Bezier curves

B. J�ttler, J. Schicho, Z. Sir

CAGD 107, pp. -. 2023. 0167-8396.
[bib]
@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}
}

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]
[bib]
@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}
}
[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]
[bib]
@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}
}
[Grasegger]

Zero-sum Cycles in Flexible Polyhedra

M. Gallet, G. Grasegger, J. Legersky, J. Schicho

Bull. LMS 54, pp. 112-125. 2022. 1469-2120.
[bib]
@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}
}
[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.
[bib]
@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}
}
[Schicho]

And Yet it Moves - Paradoxically Moving Linkages in Kinematics

J. Schicho

Bulletin AMS 59, pp. 59-95. 2022. ISSN 0273-0979. [doi]
[bib]
@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}
}
[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.
[bib]
@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}
}
[Schicho]

A new line-symmetric mobile infinity-pod

M. Gallet, J. Schicho

Confl. Math. 14, pp. 35-47. 2022. 1793-7442.
[bib]
@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}
}
[Schicho]

Projective isomorphisms between rational surfaces

B. J�ttler, N. Lubbes, J. Schicho

J. Algebra 54, pp. 112-125. 2022. 0021-8693.
[bib]
@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}
}

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]
[bib]
@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}
}
[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]
[bib]
@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}
}
[Grasegger]

Bracing frameworks consisting of parallelograms

Georg Grasegger, Jan Legerský

The Art of Discrete and Applied Mathematics Accepted Manuscripts, pp. --. 2021. 2590-9770. [doi]
[bib]
@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}
}
[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]
[bib]
@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}
}
[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]
[bib]
@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}
}

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]
[bib]
@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}
}
[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]
[bib]
@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}
}
[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]
[bib]
@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}
}
[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]
[bib]
@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}
}
[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]
[bib]
@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}
}
[Grasegger]

Zero-sum cycles in flexible polyhedra

M. Gallet, G. Grasegger, J. Legerský, J. Schicho

arXiv. Technical report, 2020. [url]
[bib]
@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}
}
[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]
[bib]
@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}
}
[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]
[bib]
@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}
}
[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]
[bib]
@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}
}
[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.
[bib]
@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}
}
[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]
[bib]
@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}
}
[Schicho]

Counting Projections of Rational Curves

M. Gallet, J. Schicho

Israel Journal of Mathematics 240, pp. 503-538. 2020. 0021-2172 . [url]
[bib]
@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}
}

2019

[Capco]

Sum of Squares over Rationals

J. Capco, C. Scheiderer

RISC. Technical report, 2019. [url] [pdf]
[bib]
@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}
}
[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]
[bib]
@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}
}
[Legersky]

Flexible and Rigid Labelings of Graphs

Jan Legerský

Research Institute for Symbolic Computation, Johannes Kepler University Linz. PhD Thesis. 2019. [url] [pdf]
[bib]
@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/}
}
[Qi]

How to avoid collision of 3D-realization for moving graphs

Jiayue Qi

Doctoral Program “Computational Mathematics”. Technical report, December 2019. [url]
[bib]
@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}
}
[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.
[bib]
@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}
}

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.
[bib]
@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}
}
[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]
[bib]
@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}
}
[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]
[bib]
@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}
}
[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.
[bib]
@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}
}