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We show that $O(n^2)$ exchanging flips suffice to transform any edge-labelledpointed pseudo-triangulation into any other with the same set of labels. Byusing insertion, deletion and exchanging flips, we can transform anyedge-labelled pseudo-triangulation into any other with $O(n \log c + h \log h)$flips, where $c$ is the number of convex layers and $h$ is the number of pointson the convex hull.

Flips in Edge-Labelled Pseudo-Triangulations