The Zigzag Path of a Pseudo-Triangulation

نویسندگان

  • Oswin Aichholzer
  • Günter Rote
  • Bettina Speckmann
  • Ileana Streinu
چکیده

We define the zigzag path of a pseudo-triangulation, a concept generalizing the path of a triangulation of a point set. The pseudotriangulation zigzag path allows us to use divide-and-conquer type of approaches for suitable (i.e., decomposable) problems on pseudo-triangulations. For this we provide an algorithm that enumerates all pseudotriangulation zigzag paths (of all pseudo-triangulations of a given point set with respect to a given line) in O(n) time per path and O(n) space, where n is the number of points. We illustrate applications of our scheme which include a novel algorithm to count the number of pseudotriangulations of a point set.

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تاریخ انتشار 2003