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dc.contributor.creatorKitson, Derek
dc.contributor.creatorNixon, Anthony
dc.contributor.creatorSchulze, Bernd
dc.date.accessioned2021-02-23T09:42:33Z
dc.date.available2021-02-23T09:42:33Z
dc.date.issued2020-12-15
dc.identifier.citationD. Kitson, A. Nixon, B. Schulze, Rigidity of symmetric frameworks in normed spaces, Linear Algebra and its Applications, Volume 607, 2020, Pages 231-285en_US
dc.identifier.issn0024-3795
dc.identifier.urihttps://dspace.mic.ul.ie/handle/10395/2939
dc.description.abstractWe develop a combinatorial rigidity theory for symmetric bar-joint frameworks in a general finite dimensional normed space. In the case of rotational symmetry, matroidal Maxwell-type sparsity counts are identified for a large class of d-dimensional normed spaces (including all lp spaces with p not equal to 2). Complete combinatorial characterisations are obtained for half-turn rotation in the l1 and l-infinity plane. As a key tool, a new Henneberg-type inductive construction is developed for the matroidal class of (2,2,0)-gain-tight gain graphs.en_US
dc.description.sponsorshipSupported by the Engineering and Physical Sciences Research Council [grant numbers EP/P01108X/1 and EP/S00940X/1].en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relation.ispartofseriesLinear Algebra and its Applications;
dc.subjectBar-joint framework; Infinitesimal rigidity; Gain graphs; Matroids; Normed spacesen_US
dc.titleSymmetric frameworks in normed spacesen_US
dc.typeArticleen_US
dc.type.supercollectionmic_published_revieweden_US
dc.description.versionYesen_US
dc.identifier.doihttps://doi.org/10.1016/j.laa.2020.08.004


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