| dc.contributor.creator | Kitson, Derek | |
| dc.contributor.creator | Nixon, Anthony | |
| dc.contributor.creator | Schulze, Bernd | |
| dc.date.accessioned | 2021-02-23T09:42:33Z | |
| dc.date.available | 2021-02-23T09:42:33Z | |
| dc.date.issued | 2020-12-15 | |
| dc.identifier.citation | D. Kitson, A. Nixon, B. Schulze, Rigidity of symmetric frameworks in normed spaces, Linear Algebra and its Applications, Volume 607, 2020, Pages 231-285 | en_US |
| dc.identifier.issn | 0024-3795 | |
| dc.identifier.uri | https://dspace.mic.ul.ie/handle/10395/2939 | |
| dc.description.abstract | We 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.sponsorship | Supported by the Engineering and Physical Sciences Research Council [grant numbers EP/P01108X/1 and EP/S00940X/1]. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartofseries | Linear Algebra and its Applications; | |
| dc.subject | Bar-joint framework; Infinitesimal rigidity; Gain graphs; Matroids; Normed spaces | en_US |
| dc.title | Symmetric frameworks in normed spaces | en_US |
| dc.type | Article | en_US |
| dc.type.supercollection | mic_published_reviewed | en_US |
| dc.description.version | Yes | en_US |
| dc.identifier.doi | https://doi.org/10.1016/j.laa.2020.08.004 | |
