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arXiv · 2207.08763

Universal Rigidity of Ladders on the line

Bryan Chen·Robert Connelly·Steven J. Gortler·Anthony Nixon·Louis Theran
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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.

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Bryan Chen, Robert Connelly, Steven J. Gortler, Anthony Nixon, Louis Theran. 2022-07-18. Universal Rigidity of Ladders on the line. https://arxiv.org/abs/2207.08763

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