Universal rigidity on the line, point order
Combinatorics
2021-04-06 v1 Algebraic Geometry
Metric Geometry
Abstract
We show that universal rigidity of a generic bar and joint framework (G,p) in the line depends on more than the ordering of the vertices. In particular, we construct examples of one-dimensional generic frameworks with the same graph and ordering of the vertices, such that one is universally rigid and one is not. This answers, in the negative, a question of Jordan and Nguyen.
Cite
@article{arxiv.2104.01892,
title = {Universal rigidity on the line, point order},
author = {Bryan Chen and Robert Connelly and Anthony Nixon and Louis Theran},
journal= {arXiv preprint arXiv:2104.01892},
year = {2021}
}
Comments
9 pages, 6 figures