A fixed-parameter algorithm for the minimum weight triangulation problem based on small graph separators

  • Authors:
  • Christian Knauer;Andreas Spillner

  • Affiliations:
  • Institute of Computer Science, Freie Universität Berlin;Institute of Computer Science, Friedrich-Schiller-Universität Jena

  • Venue:
  • WG'06 Proceedings of the 32nd international conference on Graph-Theoretic Concepts in Computer Science
  • Year:
  • 2006

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Abstract

We present a fixed-parameter algorithm which computes for a set P of n points in the plane in time a minimum weight triangulation. The parameter k is the number of points in P that lie in the interior of the convex hull of P and .