10 citations · 48 across the 37 of their papers we have counts for
8 papers · 1 filter
Uniquely realizable crystalline structures
Sean Dewar, Bernd Schulze, Shin-ichi Tanigawa +1
We construct infinite periodic versions of the stress matrix and establish sufficient conditions for periodic tensegrity frameworks to be globally rigid in in the ca…
Globally Rigid Convex Braced Polygons
Robert Connelly, Bill Jackson, Shin-ichi Tanigawa +1
Here we propose a class of frameworks in the plane, braced polygons, that may be globally rigid and are analogous to convex polyopes in 3 space that are rigid by Cauchy's rigidity…
Generic Global Rigidity in -Space and the Identifiability of the -Cayley-Menger Varieties
Tomohiro Sugiyama, Shin-ichi Tanigawa
The celebrated result of Gortler-Healy-Thurston (independently, Jackson-Jordán for ) shows that the global rigidity of graphs realised in the -dimensional Euclidean space i…
Identifiability of Points and Rigidity of Hypergraphs under Algebraic Constraints
James Cruickshank, Fatemeh Mohammadi, Anthony Nixon +1
The identifiability problem arises naturally in a number of contexts in mathematics and computer science. Specific instances include local or global rigidity of graphs and unique c…
Rigidity of frameworks on expanding spheres
Anthony Nixon, Bernd Schulze, Shin-ichi Tanigawa +1
A rigidity theory is developed for bar-joint frameworks in whose vertices are constrained to lie on concentric -spheres with independently variable radii. In…
Linking Rigid Bodies Symmetrically
Bernd Schulze, Shin-ichi Tanigawa
The mathematical theory of rigidity of body-bar and body-hinge frameworks provides a useful tool for analyzing the rigidity and flexibility of many articulated structures appearing…