Standard
On the symmetric molecular conjectures. / Porta, Josep; Ros, Lluis
; Schulze, Bernd et al.
Computational Kinematics: Proceedings of the 6th International Workshop on Computational Kinematics (CK2013). ed. / Federico Thomas; Alba Perez Gracia. Berlin: Springer Verlag, 2014. p. 175-184 (Mechanisms and Machine Science; Vol. 15).
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review
Harvard
Porta, J, Ros, L
, Schulze, B, Sljoka, A & Whiteley, W 2014,
On the symmetric molecular conjectures. in F Thomas & AP Gracia (eds),
Computational Kinematics: Proceedings of the 6th International Workshop on Computational Kinematics (CK2013). Mechanisms and Machine Science, vol. 15, Springer Verlag, Berlin, pp. 175-184.
https://doi.org/10.1007/978-94-007-7214-4_20APA
Porta, J., Ros, L.
, Schulze, B., Sljoka, A., & Whiteley, W. (2014).
On the symmetric molecular conjectures. In F. Thomas, & A. P. Gracia (Eds.),
Computational Kinematics: Proceedings of the 6th International Workshop on Computational Kinematics (CK2013) (pp. 175-184). (Mechanisms and Machine Science; Vol. 15). Springer Verlag.
https://doi.org/10.1007/978-94-007-7214-4_20Vancouver
Porta J, Ros L
, Schulze B, Sljoka A, Whiteley W.
On the symmetric molecular conjectures. In Thomas F, Gracia AP, editors, Computational Kinematics: Proceedings of the 6th International Workshop on Computational Kinematics (CK2013). Berlin: Springer Verlag. 2014. p. 175-184. (Mechanisms and Machine Science). doi: 10.1007/978-94-007-7214-4_20
Author
Porta, Josep ; Ros, Lluis
; Schulze, Bernd et al. /
On the symmetric molecular conjectures. Computational Kinematics: Proceedings of the 6th International Workshop on Computational Kinematics (CK2013). editor / Federico Thomas ; Alba Perez Gracia. Berlin : Springer Verlag, 2014. pp. 175-184 (Mechanisms and Machine Science).
Bibtex
@inproceedings{b6550b048b744460acdab542a397dbac,
title = "On the symmetric molecular conjectures",
abstract = "A molecular linkage consists of a set of rigid bodies pairwise connected by revolute hinges where all hinge lines of each body are concurrent. It is an important problem in biochemistry, as well as in robotics, to efficiently analyze the motions of such linkages. The theory of generic rigidity of body-bar frameworks addresses this problem via fast combinatorial algorithms. However, recent work has shown that symmetry (a common feature of many molecular and mechanical structures) can lead to additional motions. These motions typically maintain the original symmetry of the structure throughout the path, and they can often be detected via simple combinatorial counts. In this paper, we outline how these symmetry-based mathematical counts and methods can be used to efficiently predict the motions of symmetric molecular linkages, and we numerically analyze configuration spaces supporting the symmetric Molecular Conjectures formulated herein.",
keywords = "Rigidity , Flexibility, Symmetry , Molecular linkage , Configuration space",
author = "Josep Porta and Lluis Ros and Bernd Schulze and Adnan Sljoka and Walter Whiteley",
year = "2014",
doi = "10.1007/978-94-007-7214-4_20",
language = "English",
isbn = "9789400772137",
series = "Mechanisms and Machine Science",
publisher = "Springer Verlag",
pages = "175--184",
editor = "Federico Thomas and Gracia, {Alba Perez}",
booktitle = "Computational Kinematics",
}
RIS
TY - GEN
T1 - On the symmetric molecular conjectures
AU - Porta, Josep
AU - Ros, Lluis
AU - Schulze, Bernd
AU - Sljoka, Adnan
AU - Whiteley, Walter
PY - 2014
Y1 - 2014
N2 - A molecular linkage consists of a set of rigid bodies pairwise connected by revolute hinges where all hinge lines of each body are concurrent. It is an important problem in biochemistry, as well as in robotics, to efficiently analyze the motions of such linkages. The theory of generic rigidity of body-bar frameworks addresses this problem via fast combinatorial algorithms. However, recent work has shown that symmetry (a common feature of many molecular and mechanical structures) can lead to additional motions. These motions typically maintain the original symmetry of the structure throughout the path, and they can often be detected via simple combinatorial counts. In this paper, we outline how these symmetry-based mathematical counts and methods can be used to efficiently predict the motions of symmetric molecular linkages, and we numerically analyze configuration spaces supporting the symmetric Molecular Conjectures formulated herein.
AB - A molecular linkage consists of a set of rigid bodies pairwise connected by revolute hinges where all hinge lines of each body are concurrent. It is an important problem in biochemistry, as well as in robotics, to efficiently analyze the motions of such linkages. The theory of generic rigidity of body-bar frameworks addresses this problem via fast combinatorial algorithms. However, recent work has shown that symmetry (a common feature of many molecular and mechanical structures) can lead to additional motions. These motions typically maintain the original symmetry of the structure throughout the path, and they can often be detected via simple combinatorial counts. In this paper, we outline how these symmetry-based mathematical counts and methods can be used to efficiently predict the motions of symmetric molecular linkages, and we numerically analyze configuration spaces supporting the symmetric Molecular Conjectures formulated herein.
KW - Rigidity
KW - Flexibility
KW - Symmetry
KW - Molecular linkage
KW - Configuration space
U2 - 10.1007/978-94-007-7214-4_20
DO - 10.1007/978-94-007-7214-4_20
M3 - Conference contribution/Paper
SN - 9789400772137
T3 - Mechanisms and Machine Science
SP - 175
EP - 184
BT - Computational Kinematics
A2 - Thomas, Federico
A2 - Gracia, Alba Perez
PB - Springer Verlag
CY - Berlin
ER -
