4 papers · 1 filter
Rigidity of symmetric frameworks in normed spaces
Derek Kitson, Anthony Nixon, Bernd Schulze
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-ty…
Constructing isostatic frameworks for the plane
K. Clinch, D. Kitson
We use a new coloured multi-graph constructive method to prove that every 2-tree decomposition can be realised in the plane as a bar-joint framework which is minimally rigid (isost…
Motions of grid-like reflection frameworks
Derek Kitson, Bernd Schulze
Combinatorial characterisations are obtained of symmetric and anti-symmetric infinitesimal rigidity for two-dimensional frameworks with reflectional symmetry in the case of norms w…
Graph rigidity for unitarily invariant matrix norms
Derek Kitson, Rupert H. Levene
A rigidity theory is developed for bar-joint frameworks in linear matrix spaces endowed with a unitarily invariant norm. Analogues of Maxwell's counting criteria are obtained and m…