Frameworks with coordinated edge motions
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.
Citation
Schulze , B , Serocold , H & Theran , L S 2022 , ' Frameworks with coordinated edge motions ' , SIAM Journal on Discrete Mathematics , vol. 36 , no. 4 , pp. 2602-2618 . https://doi.org/10.1137/20M1377539
Publication
SIAM Journal on Discrete Mathematics
Status
Peer reviewed
ISSN
0895-4801Type
Journal article
Rights
Copyright © 2022 Society for Industrial and Applied Mathematics. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1137/20M1377539.
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