4-regular planar unit triangle graphs without additional triangles
Metric Geometry
2019-11-05 v2 Combinatorics
Abstract
In this article we proof the existence of 4-regular planar unit-distance graphs consisting only of unit triangles without additional triangles. It is shown that the smallest number of unit triangles is 6422.
Cite
@article{arxiv.1902.00966,
title = {4-regular planar unit triangle graphs without additional triangles},
author = {Mike Winkler and Peter Dinkelacker and Stefan Vogel},
journal= {arXiv preprint arXiv:1902.00966},
year = {2019}
}
Comments
6 pages, 6 figures, 1 table