Recent Developments in Spatial Graph Theory

TL;DR

This survey reviews recent advances in spatial graph theory, focusing on intrinsic knotting, linking, and symmetries of spatial graphs in various 3-manifolds, highlighting key theoretical developments.

Contribution

It compiles and discusses recent results on intrinsic knotting, linking, and symmetries in spatial graphs across different 3-manifolds, providing a comprehensive overview.

Findings

Recent results on intrinsic knotting and linking

Advances in understanding symmetries of spatial graphs

Extension of results to various 3-manifolds

Abstract

This article presents a survey of some recent results in the theory of spatial graphs. In particular, we highlight results related to intrinsic knotting and linking and results about symmetries of spatial graphs. In both cases we consider spatial graphs in $S^3$ as well as in other $3$-manifolds.