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On the symmetric molecular conjectures

Porta, Josep and Ros, Lluis and Schulze, Bernd and Sljoka, Adnan and Whiteley, Walter (2014) On the symmetric molecular conjectures. In: Computational Kinematics : Proceedings of the 6th International Workshop on Computational Kinematics (CK2013). Mechanisms and Machine Science . Springer Verlag, Berlin, pp. 175-184. ISBN 9789400772137

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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.

Item Type: Contribution in Book/Report/Proceedings
Uncontrolled Keywords: Rigidity ; Flexibility ; Symmetry ; Molecular linkage ; Configuration space
Subjects:
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 64396
Deposited By: ep_importer_pure
Deposited On: 09 May 2013 09:24
Refereed?: No
Published?: Published
Last Modified: 20 Sep 2017 04:05
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/64396

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