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A sufficient connectivity condition for rigidity and global rigidity of linearly constrained frameworks in R2        
Yazarlar
Dr. Öğr. Üyesi Hakan GÜLER Dr. Öğr. Üyesi Hakan GÜLER
Kastamonu Üniversitesi, Türkiye
Özet
We study the bar-and-joint frameworks in R2 such that some vertices are constrained to lie on some lines. The generic rigidity of such frameworks is characterised by Streinu and Theran (2010). Katoh and Tanigawa (2013) remarked that the corresponding matroid and its rank function can be characterised by using a submodular function. In this paper, we will transfer this characterisation of the rank function to the form of the value of a “1-thin cover” and obtain a sufficient connectivity condition for rigidity and global rigidity of these frameworks analogous to the results of Lovász and Yemini (1982).
Anahtar Kelimeler
Count matroid | Linearly constrained framework | Rigidity | Sliders
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı DISCRETE APPLIED MATHEMATICS
Dergi ISSN 0166-218X
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 02-2023
Cilt No 326
Sayı 1
Sayfalar 37 / 46
Doi Numarası 10.1016/j.dam.2022.11.002
Makale Linki http://dx.doi.org/10.1016/j.dam.2022.11.002