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Rigidity of Symmetric Linearly Constrained Frameworks in the Plane

Rigidity of Symmetric Linearly Constrained Frameworks in the Plane

A bar-joint framework $(G,p)$ is the combination of a finite simple graph $G=(V,E)$ and a placement $p:V\rightarrow \mathbb{R}^d$. The framework is rigid if the only edge-length preserving continuous motions of the vertices arise from isometries of the space. Motivated by applications where boundary conditions play a significant role, one may …