Topological Symmetry Groups of the Heawood Graph

TL;DR

This paper classifies all possible topological symmetry groups that can arise from embeddings of the Heawood graph in three-dimensional space, providing a comprehensive understanding of its symmetries.

Contribution

It offers a complete classification of topological symmetry groups for the Heawood graph embeddings in $S^3$, a novel result in topological graph theory.

Findings

Identified all groups realizable as topological symmetry groups of the Heawood graph

Provided explicit embeddings demonstrating each symmetry group

Extended understanding of symmetries in topological graph embeddings

Abstract

We classify all groups which can occur as the topological symmetry group of some embedding of the Heawood graph in $S^3$.