Vertex Splitting, Coincident Realisations and Global Rigidity of Braced Triangulations
Abstract
We give a short proof of a result of Jordan and Tanigawa that a 4-connected graph which has a spanning planar triangulation as a proper subgraph is generically globally rigid in R3. Our proof is based on a new sufficient condition for the so called vertex splitting operation to preserve generic global rigidity in Rd.
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