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arXiv · 1110.4660

Periodic body-and-bar frameworks

Ciprian S. Borcea·Ileana Streinu·Shin-ichi Tanigawa
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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.

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Ciprian S. Borcea, Ileana Streinu, Shin-ichi Tanigawa. 2011-10-20. Periodic body-and-bar frameworks. https://arxiv.org/abs/1110.4660

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