Name
Abstract | ||
|---|---|---|
A bar framework determined by a finite graph $$G$$G and a configuration $$\\mathbf{p =(p_1,\\ldots , p_n) }$$p=(p1,¿,pn) in $$\\mathbb {R}^d$$Rd is universally rigid if it is rigid in any $$\\mathbb {R}^D \\supset \\mathbb {R}^d$$RD¿Rd. We provide a characterization of universal rigidity for any graph $$G$$G and any configuration $$\\mathbf{p}$$p in terms of a sequence of affine subsets of the space of configurations. This corresponds to a facial reduction process for closed finite-dimensional convex cones. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s00454-015-9670-5 | Discrete & Computational Geometry |
Keywords | Field | DocType |
Rigidity,Prestress stability,Universal rigidity,Global rigidity,Infinitesimal rigidity,Dimensional rigidity | Affine transformation,Rigidity (psychology),Topology,Graph,Combinatorics,Regular polygon,Mathematics | Journal |
Volume | Issue | ISSN |
53 | 4 | 0179-5376 |
Citations | PageRank | References |
3 | 0.45 | 17 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Robert Connelly | 1 | 5 | 2.20 |
| Steven J. Gortler | 2 | 4205 | 366.17 |