On Spaces of Infinitesimal Motions and Henneberg Extensions
classification
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math.CO
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spacesextensionshenneberginfinitesimalmotionssomeablearising
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We investigate certain spaces of infinitesimal motions arising naturally in the rigidity theory of bar and joint frameworks. We prove some structure theorems for these spaces and as a consequence are able to deduce some special cases of a long standing conjecture of Graver, Tay and Whiteley concerning Henneberg extensions and generically rigid graphs.
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