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Universal rigidity on the line, point order

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 نشر من قبل Robert Connelly
 تاريخ النشر 2021
  مجال البحث
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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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