Periodic Rigidity on a Variable Torus Using Inductive Constructions
Combinatorics
2012-04-09 v1 Metric Geometry
Abstract
In this paper we prove a recursive characterisation of generic rigidity for frameworks periodic with respect to a partially variable lattice. We follow the approach of modelling periodic frameworks as frameworks on a torus and use the language of gain graphs for the finite counterpart of a periodic graph. In this setting we employ variants of the Henneberg operations used frequently in rigidity theory.
Cite
@article{arxiv.1204.1349,
title = {Periodic Rigidity on a Variable Torus Using Inductive Constructions},
author = {Anthony Nixon and Elissa Ross},
journal= {arXiv preprint arXiv:1204.1349},
year = {2012}
}
Comments
33 pages, 9 figures