Rigidity of Linearly Constrained Frameworks

Cruickshank, James; GÜLER, Hakan; Jackson, Bill; Nixon, Anthony

doi:10.1093/imrn/rny170

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 Wos Dergi Scopus Dergi
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

Dergi Adı	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Yayıncı	Oxford University Press
Açık Erişim	Hayır
ISSN	1073-7928
E-ISSN	1687-0247
CiteScore	2,3
SJR	1,515
SNIP	1,378

Rigidity of Linearly Constrained Frameworks

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