Universal Rigidity of Ladders on the line
Metric Geometry
2022-07-19 v1 Combinatorics
Abstract
In "Universal rigidity on the line, point orde" it is shown, answering a question of Jord\'an and Nguyen, that universal rigidity of a generic bar-joint framework in R^1 depends on more than the ordering of the vertices. The graph G that was used in that paper is a ladder with three rungs. Here we provide a general answer when that ladder with three rungs in the line is universally rigid and when it is not.
Cite
@article{arxiv.2207.08763,
title = {Universal Rigidity of Ladders on the line},
author = {Bryan Chen and Robert Connelly and Steven J. Gortler and Anthony Nixon and Louis Theran},
journal= {arXiv preprint arXiv:2207.08763},
year = {2022}
}