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arxiv: 1208.0202 · v1 · pith:D6FKLAZ7new · submitted 2012-08-01 · 💻 cs.CG · cs.DS

The Complexity of MaxMin Length Triangulation

classification 💻 cs.CG cs.DS
keywords lengthtriangulationalgorithmfindingmaxminproblemapproximateapproximation
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In 1991, Edelsbrunner and Tan gave an O(n^2) algorithm for finding the MinMax Length triangulation of a set of points in the plane. In this paper we resolve one of the open problems stated in that paper, by showing that finding a MaxMin Length triangulation is an NP-complete problem. The proof implies that (unless P=NP), there is no polynomial-time approximation algorithm that can approximate the problem within any polynomial factor.

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