A combinatorial characterization of generic infinitesimal rigidity for frameworks in any Euclidean dimension is given using Plücker relations on the Grassmannian and Young's straightening law on tableaux.
Graver, Brigitte Servatius, and Herman Servatius.Combinatorial Rigidity, volume 2 of Graduate Studies in Mathematics
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Generic Rigidity of Graph Frameworks in Euclidean Space
A combinatorial characterization of generic infinitesimal rigidity for frameworks in any Euclidean dimension is given using Plücker relations on the Grassmannian and Young's straightening law on tableaux.