English

A better upper bound on the number of triangulations of a planar point set

Combinatorics 2007-05-23 v2

Abstract

We show that a point set of cardinality nn in the plane cannot be the vertex set of more than 59nO(n6)59^n O(n^{-6}) straight-edge triangulations of its convex hull. This improves the previous upper bound of 276.75n276.75^n.

Keywords

Cite

@article{arxiv.math/0204045,
  title  = {A better upper bound on the number of triangulations of a planar point set},
  author = {Francisco Santos and Raimund Seidel},
  journal= {arXiv preprint arXiv:math/0204045},
  year   = {2007}
}

Comments

6 pages, 1 figure