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dc.contributor.creatorKitson, Derek
dc.contributor.creatorLevene, Rupert H
dc.date.accessioned2021-03-25T14:47:26Z
dc.date.available2021-03-25T14:47:26Z
dc.date.issued2020-11-15
dc.identifier.citationKitson, D. & Levene, R, H. (2020) 'Graph rigidity for unitarily invariant matrix norms', Journal of Mathematical Analysis and Applications, 491(2):124353, https://doi.org/10.1016/j.jmaa.2020.124353 Get rights and content.en_US
dc.identifier.urihttps://dspace.mic.ul.ie/handle/10395/2963
dc.description.abstractA rigidity theory is developed for bar-joint frameworks in linear matrix spaces endowed with a unitarily invariant matrix norm. Analogues of Maxwell's counting criteria are obtained and minimally rigid matrix frameworks are shown to belong to the matroidal class of -sparse graphs for suitable k and l. An edge-colouring technique is developed to characterise infinitesimal rigidity for product norms and then applied to show that the graph of a minimally rigid bar-joint framework in the space of 2 x 2 symmetric (respectively, hermitian) matrices with the trace norm admits an edge-disjoint packing consisting of a (Euclidean) rigid graph and a spanning tree.en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relation.ispartofseries491;2
dc.rightsThis is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, Kitson, D. & Levene, R, H. (2020) 'Graph rigidity for unitarily invariant matrix norms', Journal of Mathematical Analysis and Applications, 491(2):124353. https://www.sciencedirect.com/science/article/pii/S0022247X20305151en_US
dc.rights.urihttps://www.sciencedirect.com/science/article/pii/S0022247X20305151en_US
dc.subjectInfinitesimal rigidityen_US
dc.subjectMatrix normen_US
dc.subjectMatroiden_US
dc.subjectLaman graphen_US
dc.titleGraph rigidity for unitarily invariant matrix norms (Pre-published)en_US
dc.typeArticleen_US
dc.type.supercollectionall_mic_researchen_US
dc.type.supercollectionmic_published_revieweden_US
dc.description.versionYesen_US
dc.identifier.doi10.1016/j.jmaa.2020.124353


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