English

The generic minimal rigidity of a partially triangulated torus

Combinatorics 2015-09-03 v1 Metric Geometry

Abstract

A simple graph is 33-rigid if its generic bar-joint frameworks in R3R^3 are infinitesimally rigid. Necessary and sufficient conditions are obtained for the minimal 33-rigidity of a simple graph which is obtained from the 11-skeleton of a triangulated torus by the deletion of edges interior to a triangulated disc.

Keywords

Cite

@article{arxiv.1509.00711,
  title  = {The generic minimal rigidity of a partially triangulated torus},
  author = {James Cruickshank and Derek Kitson and Stephen Power},
  journal= {arXiv preprint arXiv:1509.00711},
  year   = {2015}
}

Comments

31 pages, 37 figures