Rigidity of Linearly Constrained Frameworks
Yazarlar (4)
James Cruickshank University Of Galway, İrlanda
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 Dergi Bilgileri (2020)
Dergi Tarandığı Indeksler SCI
Makale Dili İngilizce Basım Tarihi 06-2020
Cilt / Sayı / Sayfa 2020 / 12 / 3824–3840 DOI 10.1093/imrn/rny170
Makale Linki http://dx.doi.org/10.1093/imrn/rny170
UAK Araştırma Alanları
Cebir ve Sayılar Teorisi
Özet
Abstract
We consider the problem of characterising the generic rigidity of bar-joint frameworks in $\mathbb{R}^d$ 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 $d\geq 3$ and each vertex is constrained to lie in an affine subspace of dimension $t$, when $t=1,2$ and also when $t\geq 3$ and $d\geq t(t-1)$. 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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 9
Scopus 9
Rigidity of Linearly Constrained Frameworks

Paylaş

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