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Frameworks with coordinated edge motions

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>31/12/2022
<mark>Journal</mark>SIAM Journal on Discrete Mathematics
Issue number4
Volume36
Number of pages17
Pages (from-to)2602-2618
Publication StatusPublished
Early online date9/11/22
<mark>Original language</mark>English

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.