# Flexible circuits in the $d$-dimensional rigidity matroid

14 Mar 2020 Grasegger Georg Guler Hakan Jackson Bill Nixon Anthony

A bar-joint framework $(G,p)$ in $\mathbb{R}^d$ is rigid if the only edge-length preserving continuous motions of the vertices arise from isometries of $\mathbb{R}^d$. It is known that, when $(G,p)$ is generic, its rigidity depends only on the underlying graph $G$, and is determined by the rank of the edge set of $G$ in the generic $d$-dimensional rigidity matroid $\mathcal{R}_d$... (read more)

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• COMBINATORICS
• METRIC GEOMETRY