3 papers
math.MG2017
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…
math.MG2017
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…
math.CO2015
The generic rigidity of triangulated spheres with blocks and holes
James Cruickshank, Derek Kitson, Stephen Power
A simple graph G=(V,E) is 3-rigid if its generic bar-joint frameworks in R3 are infinitesimally rigid. Block and hole graphs are derived from triangulated spheres by the removal of…