12 citations · 19 across the 13 of their papers we have counts for
3 papers · 1 filter
The generic minimal rigidity of a partially triangulated torus
James Cruickshank, Derek Kitson, Stephen Power
A simple graph is -rigid if its generic bar-joint frameworks in are infinitesimally rigid. Necessary and sufficient conditions are obtained for the minimal -rigidity of…
Positive Polynomials on Riesz Spaces
James Cruickshank, John Loane, Raymond A. Ryan
We prove some properties of positive polynomial mappings between Riesz spaces, using finite difference calculus. We establish the polynomial analogue of the classical result that p…
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…