On numbers of pseudo-triangulations
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文摘
We study the maximum numbers of pseudo-triangulations and pointed pseudo-triangulations that can be embedded over a specific set of points in the plane or contained in a specific triangulation.

We derive the bounds and for the maximum number of pointed pseudo-triangulations that can be contained in a specific triangulation over a set of N points. For the number of all pseudo-triangulations contained in a triangulation we derive the bounds and . We also prove that pointed pseudo-triangulations can be embedded over any specific set of N points in the plane, and at most general pseudo-triangulations.

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