English

On the Number of Edges in Maximally Linkless Graphs

Combinatorics 2019-11-21 v1 Geometric Topology

Abstract

A maximally linkless graph is a graph that can be embedded in R3\mathbb{R}^3 without any links, but cannot be embedded in such a way if any other edge is added to the graph. Recently, a family of maximally linkless graphs was found with m=3n3m=3n-3 edges. We improve upon this by demonstrating a new family of maximally linkless graphs with m145nm\le \frac{14}{5}n edges.

Keywords

Cite

@article{arxiv.1911.08552,
  title  = {On the Number of Edges in Maximally Linkless Graphs},
  author = {Max Aires},
  journal= {arXiv preprint arXiv:1911.08552},
  year   = {2019}
}

Comments

4 pages, 1 figure