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
Collections
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.