Happy endings for flip graphs
Computational Geometry
2016-08-12 v2 Combinatorics
Metric Geometry
Abstract
We show that the triangulations of a finite point set form a flip graph that can be embedded isometrically into a hypercube, if and only if the point set has no empty convex pentagon. Point sets of this type include convex subsets of lattices, points on two lines, and several other infinite families. As a consequence, flip distance in such point sets can be computed efficiently.
Cite
@article{arxiv.cs/0610092,
title = {Happy endings for flip graphs},
author = {David Eppstein},
journal= {arXiv preprint arXiv:cs/0610092},
year = {2016}
}
Comments
26 pages, 15 figures. Revised and expanded for journal publication