A sufficient connectivity condition for rigidity and global rigidity of linearly constrained frameworks in R2
Yazarlar (1)
Dr. Öğr. Üyesi Hakan GÜLER Kastamonu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Discrete Applied Mathematics (Q3) | ||
| Dergi ISSN | 0166-218X Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 02-2023 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-02-2023 |
| Cilt / Sayı / Sayfa | 326 / 1 / 37–46 | DOI | 10.1016/j.dam.2022.11.002 |
| Makale Linki | http://dx.doi.org/10.1016/j.dam.2022.11.002 | ||
| UAK Araştırma Alanları |
Cebir ve Sayılar Teorisi
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| Özet |
| We study the bar-and-joint frameworks in R 2 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 |
Science Direct
A sufficient connectivity condition for rigidity and global rigidity of linearly constrained frameworks in R2
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 1 |