Many, many more intrinsically knotted graphs

TL;DR

This paper expands the catalog of intrinsically knotted graphs by listing over 200 new minor minimal examples and discussing many more that are likely minor minimal, advancing understanding in topological graph theory.

Contribution

It provides a significantly larger set of intrinsically knotted graphs, including new minor minimal examples, enhancing the classification in the field.

Findings

Over 200 new minor minimal intrinsically knotted graphs listed

Many additional graphs identified as intrinsically knotted and likely minor minimal

Advances the understanding of the structure of intrinsically knotted graphs

Abstract

We list more than 200 new examples of minor minimal intrinsically knotted graphs and describe many more that are intrinsically knotted and likely minor minimal.