Graph minimization, focusing on the example of 5-chromatic unit-distance graphs in the plane
Combinatorics
2022-06-29 v2 Metric Geometry
Abstract
We introduce a new graph minimization method, in which it is required to preserve some graph property and there is an effective procedure for checking this property. We applied this method to minimize 5-chromatic unit-distance graphs and obtained a graph with 509 vertices and 2442 edges.
Cite
@article{arxiv.2010.12665,
title = {Graph minimization, focusing on the example of 5-chromatic unit-distance graphs in the plane},
author = {Jaan Parts},
journal= {arXiv preprint arXiv:2010.12665},
year = {2022}
}
Comments
Fixed typos in matrices. Some changes in references