Generic rigidity of reflection frameworks
Geometric Topology
2012-03-13 v1
Abstract
We give a combinatorial characterization of generic minimally rigid reflection frameworks. The main new idea is to study a pair of direction networks on the same graph such that one admits faithful realizations and the other has only collapsed realizations. In terms of infinitesimal rigidity, realizations of the former produce a framework and the latter certifies that this framework is infinitesimally rigid.
Cite
@article{arxiv.1203.2276,
title = {Generic rigidity of reflection frameworks},
author = {Justin Malestein and Louis Theran},
journal= {arXiv preprint arXiv:1203.2276},
year = {2012}
}
Comments
14 pages, 2 figures