论文标题

梯子在线的普遍刚性

Universal Rigidity of Ladders on the line

论文作者

Chen, Bryan, Connelly, Robert, Gortler, Steven J., Nixon, Anthony, Theran, Louis

论文摘要

在“线上的通用刚度,点orde”中,它显示了乔丹和nguyen的一个问题,即r^1中通用的酒吧连接框架的通用刚性取决于顶点的顺序。该论文中使用的图G是一个带有三个梯级的梯子。在这里,我们提供了一个一般答案,当该梯子中有三个梯级的梯子普遍僵硬,而不是。

In "Universal rigidity on the line, point orde" it is shown, answering a question of Jordán and Nguyen, that universal rigidity of a generic bar-joint framework in R^1 depends on more than the ordering of the vertices. The graph G that was used in that paper is a ladder with three rungs. Here we provide a general answer when that ladder with three rungs in the line is universally rigid and when it is not.

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