Infinitesimal rigidity for non-Euclidean bar-joint frameworks

Kitson, Derek and Power, Stephen (2014) Infinitesimal rigidity for non-Euclidean bar-joint frameworks. Bulletin of the London Mathematical Society, 46 (4). pp. 685-697. ISSN 0024-6093

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Abstract

The minimal innitesimal rigidity of bar-joint frameworks in the non-Euclidean spaces (R2, ||.||q) are characterised in terms of (2,2)-tight graphs. Specifically, a generically placed bar-joint framework (G,p) in the plane is minimally infinitesimally rigid with respect to a non-Euclidean lq norm if and only if the underlying graph G = (V,E) contains 2|V|-2 edges and every subgraph H = (V (H),E(H)) contains at most 2|V(H)|-2 edges.

Item Type:
Journal Article
Journal or Publication Title:
Bulletin of the London Mathematical Society
Additional Information:
© 2014 London Mathematical Society
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code:
67151
Deposited By:
Deposited On:
10 Oct 2013 11:00
Refereed?:
Yes
Published?:
Published
Last Modified:
19 Sep 2020 02:47