3 papers
math.CO2018
Sufficient connectivity conditions for rigidity of symmetric frameworks
Viktoria E. Kaszanitzky, Bernd Schulze
It is a famous result of Lovasz and Yemini (1982) that 6-connected graphs are rigid in the plane. This was recently improved by Jackson and Jordan (2009) who showed that 6-mixed co…
math.MG2018
Sufficient conditions for the global rigidity of periodic graphs
Viktoria E. Kaszanitzky, Csaba Kiraly, Bernd Schulze
Tanigawa (2016) showed that vertex-redundant rigidity of a graph implies its global rigidity in arbitrary dimension. We extend this result to periodic graphs under fixed lattice re…
math.CO2016
Rigid cylindrical frameworks with two coincident points
Bill Jackson, Viktoria Kaszanitzky, Anthony Nixon
We develop a rigidity theory for frameworks in which have two coincident points but are otherwise generic and only infinitesimal motions which are tangential to a fa…