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arXiv · 1807.05376

Frameworks with coordinated edge motions

Bernd Schulze·Hattie Serocold·Louis Theran
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Abstract

We develop a rigidity theory for bar-joint frameworks in Euclidean $d$-space in which specified classes of edges are allowed to change length in a coordinated fashion that requires differences of lengths to be preserved within each class. Rigidity for these coordinated frameworks is a generic property, and we characterize the rigid graphs in terms of redundant rigidity in the standard $d$-dimensional rigidity matroid. We also interpret our main results in terms of matroid unions.

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Bernd Schulze, Hattie Serocold, Louis Theran. 2018-07-14. Frameworks with coordinated edge motions. https://arxiv.org/abs/1807.05376

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