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A sufficient connectivity condition for rigidity and global rigidity of linearly constrained frameworks in R<sup>2</sup>

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dc.contributor.authorGuler H.
dc.date.accessioned2023-04-11T22:05:24Z
dc.date.accessioned2023-04-12T00:30:57Z
dc.date.available2023-04-11T22:05:24Z
dc.date.available2023-04-12T00:30:57Z
dc.date.issued2023-02-15
dc.description.abstractWe 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).
dc.identifier.doi10.1016/j.dam.2022.11.002
dc.identifier.issn0166218X
dc.identifier.scopus2-s2.0-85143327162
dc.identifier.urihttps://hdl.handle.net/20.500.12597/4262
dc.relation.ispartofDiscrete Applied Mathematics
dc.rightsfalse
dc.subjectCount matroid | Linearly constrained framework | Rigidity | Sliders
dc.titleA sufficient connectivity condition for rigidity and global rigidity of linearly constrained frameworks in R<sup>2</sup>
dc.typeArticle
dspace.entity.typeScopus
local.indexed.atScopus
oaire.citation.volume326
person.affiliation.nameKastamonu University
person.identifier.orcid0000-0003-3300-860X
person.identifier.scopus-author-id57218265146
relation.isPublicationOfScopusa9024c48-8e5c-43d6-a6cf-cc122bf855a7
relation.isPublicationOfScopus.latestForDiscoverya9024c48-8e5c-43d6-a6cf-cc122bf855a7

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