Universal Rigidity of Ladders on the Line
In [3] it is shown, answering a question of Jordán and Nguyen [9], 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.
Authors
- Bryan Gin–ge Chen (ORCID: https://orcid.org/0000-0002-7023-7252)
- Steven J. Gortler
- Anthony Nixon (ORCID: https://orcid.org/0000-0003-0639-1295)
- Louis Theran (ORCID: https://orcid.org/0000-0001-5282-4800)
- Robert Connelly (ORCID: https://orcid.org/0000-0003-3757-8124)
Institutions
- Harvard University (US)
- University of St Andrews (GB)
- Cornell University (US)
- Lancaster University (GB)
- University of Pennsylvania (US)
Publication Details
- Journal
- Studia Scientiarum Mathematicarum Hungarica
- Published
- 2024-12-18
- DOI
- https://doi.org/10.1556/012.2024.04322
- Primary Topic
- Advanced Numerical Analysis Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council