The rigidity of periodic frameworks as graphs on a fixed torus
Metric Geometry
2012-03-01 v1
Abstract
We define periodic frameworks as graphs on the torus, using the language of gain graphs. We present some fundamental definitions and results about the infinitesimal rigidity of graphs on a torus of fixed size and shape, and find necessary conditions for the generic rigidity of pe- riodic frameworks on a d-dimensional fixed torus.
Keywords
Cite
@article{arxiv.1202.6652,
title = {The rigidity of periodic frameworks as graphs on a fixed torus},
author = {Elissa Ross},
journal= {arXiv preprint arXiv:1202.6652},
year = {2012}
}
Comments
42 pages, 9 figures