Periodic body-and-bar frameworks
Metric Geometry
2011-10-24 v1 Combinatorics
Abstract
Abstractions of crystalline materials known as periodic body-and-bar frameworks are made of rigid bodies connected by fixed-length bars and subject to the action of a group of translations. In this paper, we give a Maxwell-Laman characterization for generic minimally rigid periodic body-and-bar frameworks. As a consequence we obtain efficient polynomial time algorithms for their recognition based on matroid partition and pebble games.
Keywords
Cite
@article{arxiv.1110.4660,
title = {Periodic body-and-bar frameworks},
author = {Ciprian S. Borcea and Ileana Streinu and Shin-ichi Tanigawa},
journal= {arXiv preprint arXiv:1110.4660},
year = {2011}
}