| Yazarlar |
Dr. Öğr. Üyesi Hakan GÜLER
Kastamonu Üniversitesi, Türkiye |
|
Bill Jackson
|
|
Anthony Nixon
|
| Özet |
| A linearly constrained framework in Rd is a point configuration together with a system of constraints that fixes the distances between some pairs of points and additionally restricts some of the points to lie in given affine subspaces. It is globally rigid if the configuration is uniquely defined by the constraint system. We show that a generic linearly constrained framework in R2 is globally rigid if and only if it is redundantly rigid and "balanced". For unbalanced generic frameworks, we determine the precise number of solutions to the constraint system whenever the rigidity matroid of the framework is connected. We obtain a stress matrix sufficient condition and a Hendrickson type necessary condition for a generic linearly constrained framework to be globally rigid in Rd. |
| 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 | 11-2021 |
| Cilt No | 2021 |
| Sayı | 22 |
| Sayfalar | 16811 / 16858 |
| Doi Numarası | 10.1093/imrn/rnaa157 |
| Makale Linki | http://dx.doi.org/10.1093/imrn/rnaa157 |
| Atıf Sayıları | |
| WoS | 3 |
| SCOPUS | 4 |
| Google Scholar | 13 |
