|
We give a short proof of a result of Jordán and Tanigawa that a 4-connected graph which has a spanning plane triangulation as a proper subgraph is generically globally rigid in $\real^3$. Our proof is based on a new sufficient condition for the so called vertex splitting operation to preserve generic global rigidity in $\real^d$.
Bibtex entry:
| AUTHOR | = | {Jackson, Bill and Cruickshank, James}, |
| TITLE | = | {Vertex Splitting, Coincident Realisations and Global Rigidity of Braced Triangulations}, |
| NOTE | = | {{\tt egres.elte.hu}}, |
| INSTITUTION | = | {Egerv{\'a}ry Research Group, Budapest}, |
| YEAR | = | {2020}, |
| NUMBER | = | {TR-2020-17} |