Characterizing redundant rigidity and redundant global rigidity of body-hinge graphs

Characterizing redundant rigidity and redundant global rigidity of body-hinge graphs

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Article ID: iaor201530340
Volume: 116
Issue: 2
Start Page Number: 175
End Page Number: 178
Publication Date: Feb 2016
Journal: Information Processing Letters
Authors: , , ,
Keywords: graphs
Abstract:

In this paper, we characterize the redundant rigidity and the redundant global rigidity of body-hinge graphs in Rˆd in terms of graph connectivity. Although an efficient algorithm which determines mixed-connectivity is still not known, our result implies that both edge-redundancy for rigidity and edge-redundancy for global rigidity can be checked via efficient graph-connectivity algorithms.

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