| Yazarlar |
James Cruickshank
|
|
Dr. Öğr. Üyesi Hakan GÜLER
Kastamonu Üniversitesi, Türkiye |
|
Bill Jackson
|
|
Anthony Nixon
|
| Özet |
| 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. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | INTERNATIONAL MATHEMATICS RESEARCH NOTICES |
| Dergi ISSN | 1073-7928 |
| Dergi Tarandığı Indeksler | SCI |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 06-2020 |
| Cilt No | 2020 |
| Sayı | 12 |
| Sayfalar | 3824 / 3840 |
| Doi Numarası | 10.1093/imrn/rny170 |
| Makale Linki | http://dx.doi.org/10.1093/imrn/rny170 |
| Atıf Sayıları | |
| WoS | 6 |
| SCOPUS | 6 |
| Google Scholar | 13 |
