Periodic body-and-bar frameworks

Details Periodic body-and-bar frameworks Periodic body-and-bar frameworks

2011-10-20

arxiv.org/abs/1110.4660v1

Mathematics

Metric Geometry

Scientific paper

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.

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