36 citations · 123 across the 20 of their papers we have counts for
25 papers
Rigidity of Symmetric Simplicial Complexes and the Lower Bound Theorem
James Cruickshank, Bill Jackson, Shinichi Tanigawa
We show that, if is a point group of of order two for some and is a -pseudomanifold which has a free automorphism of order two, the…
Global Rigidity of Triangulated Manifolds
James Cruickshank, Bill Jackson, Shin-ichi Tanigawa
We prove that if is the graph of a connected triangulated -manifold, for , then is generically globally rigid in if and only if it is -…
Coincident Rigidity of 2-Dimensional Frameworks
Hakan Guler, Bill Jackson
Fekete, Jordán and Kaszanitzky [4] characterised the graphs which can be realised as 2-dimensional, infinitesimally rigid, bar-joint frameworks in which two given vertices are coin…
Maximal Matroids in Weak Order Posets
Bill Jackson, Shin-ichi Tanigawa
Let $\cX$ be a family of subsets of a finite set . A matroid on is called an $\cX$-matroid if each set in $\cX$ is a circuit. We consider the problem of determining when the…
An improved bound for the rigidity of linearly constrained frameworks
Bill Jackson, Anthony Nixon, Shin-Ichi Tanigawa
We consider the problem of characterising the generic rigidity of bar-joint frameworks in in which each vertex is constrained to lie in a given affine subspace. The…
Flexible circuits in the -dimensional rigidity matroid
Georg Grasegger, Hakan Guler, Bill Jackson +1
A bar-joint framework in is rigid if the only edge-length preserving continuous motions of the vertices arise from isometries of . It is known…