Flip Distance between Triangulations of a Simple Polygon is NP-Complete

@inproceedings{Aichholzer2013FlipDB,
  title={Flip Distance between Triangulations of a Simple Polygon is NP-Complete},
  author={Oswin Aichholzer and Wolfgang Mulzer and Alexander Pilz},
  booktitle={ESA},
  year={2013}
}
Let T be a triangulation of a simple polygon. A flip in T is the operation of removing one diagonal of T and adding a different one such that the resulting graph is again a triangulation. The flip distance between two triangulations is the smallest number of flips required to transform one triangulation into the other. For the special case of convex polygons, the problem of determining the shortest flip distance between two triangulations is equivalent to determining the rotation distance… 
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Cette these explore des problematiques liees aux jeux. Les jeux qui nous interessent sont ceux pour lesquels il n'y a pas d'information cachee: tout les joueurs ont acces a toute l'information
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Flip Distance Between Triangulations of a Simple Polygon is NP-Complete
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It is shown that computing the flip distance between two triangulations of a simple polygon is NP-hard, which complements a recent result that shows APX-hardness of determining the flip Distance between two Triangulation of a planar point set.
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