Henneberg constructions and covers of cone-Laman graphs

Author: Louis Theran
Preprint: 1204.0503, 2012
Full text: arXiv

We give Henneberg-type constructions for three families of sparse colored graphs arising in the rigidity theory of periodic and other forced symmetric frameworks. The proof method, which works with Laman-sparse finite covers of colored graphs highlights the connection between these sparse colored families and the well-studied matroidal \((k, \ell)\)-sparse families.