An improved bound for the rigidity of linearly constrained frameworks
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Publisher
Journal
SIAM Journal on Discrete Mathematics
ISSN
0895-4801
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Show full item recordAbstract
We consider the problem of characterising the generic rigidity of bar-joint
frameworks in Rd in which each vertex is constrained to lie in a given a ne subspace.
The special case when d = 2 was previously solved by I. Streinu and L. Theran in 2010
and the case when each vertex is constrained to lie in an a ne subspace of dimension t,
and d t(t 1) was solved by Cruickshank, Guler and the rst two authors in 2019. We
extend the latter result by showing that the given characterisation holds whenever d 2t.
Authors
Jackson, W; Nixon, A; Tanigawa, S-ICollections
- Mathematics [1439]