3 papers
math.CO2024
Generic infinitesimal rigidity for rotational groups in the plane
Alison La Porta, Bernd Schulze
In this paper we establish combinatorial characterisations of symmetry-generic infinitesimally rigid frameworks in the Euclidean plane for rotational groups of order 4 and 6, and o…
math.CO2024
Rigidity of symmetric frameworks with non-free group actions on the vertices
Alison La Porta, Bernd Schulze
For plane frameworks with reflection or rotational symmetries, where the group action is not necessarily free on the vertex set, we introduce a phase-symmetric orbit rigidity matri…
math.CO2023
Rigidity of symmetric linearly constrained frameworks in the plane
Anthony Nixon, Bernd Schulze, Joseph Wall
A bar-joint framework is the combination of a finite simple graph and a placement . The framework is rigid if the only edge-length pr…