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Universal rigidity on the line, point order
Published 5 Apr 2021 in math.CO, math.AG, and math.MG | (2104.01892v1)
Abstract: We show that universal rigidity of a generic bar and joint framework (G,p) in the line depends on more than the ordering of the vertices. In particular, we construct examples of one-dimensional generic frameworks with the same graph and ordering of the vertices, such that one is universally rigid and one is not. This answers, in the negative, a question of Jordan and Nguyen.
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