Global Rigidity of 2D Linearly Constrained Frameworks
Yazarlar (3)
Dr. Öğr. Üyesi Hakan GÜLER Kastamonu Üniversitesi, Türkiye
Bill Jackson
Queen Mary University Of London, İngiltere
Anthony Nixon
Department Of Mathematics And Statistics, Lancaster University, İngiltere
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı International Mathematics Research Notices (Q1)
Dergi ISSN 1073-7928 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI
Makale Dili İngilizce Basım Tarihi 11-2021
Kabul Tarihi – Yayınlanma Tarihi 26-10-2020
Cilt / Sayı / Sayfa 2021 / 22 / 16811–16858 DOI 10.1093/imrn/rnaa157
Makale Linki http://dx.doi.org/10.1093/imrn/rnaa157
Özet
Abstract
A linearly constrained framework in $\mathbb{R}^d$ 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 $\mathbb{R}^2$ 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 $\mathbb{R}^d$.
Anahtar Kelimeler
Pdf İndir
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 5
Web of Science 9
Scopus 5
Scopus 9
Google Scholar 7
Google Scholar 17
Global Rigidity of 2D Linearly Constrained Frameworks

Paylaş

İletişim
  • Kastamonu Üniversitesi Rektörlüğü, Kuzeykent Kampüsü, Merkez/Kastamonu
  • unis@kastamonu.edu.tr 03662801000
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