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arXiv · 1208.0202

The Complexity of MaxMin Length Triangulation

Sándor P. Fekete
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Abstract

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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Sándor P. Fekete. 2012-08-01. The Complexity of MaxMin Length Triangulation. https://arxiv.org/abs/1208.0202

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