| Authors (4) |
James Cruickshank
University Of Galway, Ireland |
Asst. Prof. Dr. Hakan GÜLER
Kastamonu Üniversitesi, Turkey |
|
Bill Jackson
Queen Mary University Of London, United Kingdom |
|
Anthony Nixon
Department Of Mathematics And Statistics, Lancaster University, United Kingdom |
| Abstract |
| We consider the problem of characterising the generic rigidity of bar-joint frameworks in R^d in which each vertex is constrained to lie in a given affine subspace. The special case when d=2 was previously solved by Streinu and Theran [14] in 2010. We will extend their characterisation to the case when d≥q 3 and each vertex is constrained to lie in an affine subspace of dimension t, when t=1,2 and also when t≥q 3 and d≥q t(t-1). We then point out that results on body-bar frameworks obtained by Katoh and Tanigawa [8] in 2013 can be used to characterise when a graph has a rigid realisation as a d-dimensional body-bar framework with a given set of linear constraints. |
| Keywords |
| Article Type | Original Article |
| Article SubType | Full articles published in SSCI, AHCI, SCI, SCI-Exp journals |
| Journal Name | INTERNATIONAL MATHEMATICS RESEARCH NOTICES |
| Journal ISSN | 1073-7928 Wos Journal Scopus Journal |
| Indexes covering the journal | SCI |
| Journal Quartile | Q1 |
| Article Language | English |
| Publication Date | 06-2020 |
| Volume | 2020 |
| Number | 12 |
| Pages | 3824 / 3840 |
| DOI Number | 10.1093/imrn/rny170 |
| Article URL | http://dx.doi.org/10.1093/imrn/rny170 |
| Citations | |
| WoS | 8 |
| SCOPUS | 8 |
| Google Scholar | 14 |
