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The connectivity conjecture for globally rigid k-chains
Connectivity conjecture. Any $(d+1)$ -connected $k$ -chain in $\mathbb{R}^d$ with more than $\binom{d+2}{2}$ vertices is generically globally rigid.
Conjectureopenglobal-rigidity graph-rigidity k-chainsarXiv posted 2 days ago

The connectivity conjecture for globally rigid k-chains