Invariants of Spatial Graphs

TL;DR

This paper reviews various invariants of spatial graphs, focusing on combinatorial and polynomial invariants like the Alexander polynomial, fundamental quandle, and Yamada polynomial, providing a concise overview for knot theory enthusiasts.

Contribution

It offers a summarized overview of key invariants of spatial graphs, highlighting recent developments and their applications in knot theory.

Findings

Comprehensive overview of combinatorial and polynomial invariants

Discussion of Alexander polynomial, quandle, and Yamada polynomial

Highlights the importance of invariants in classifying spatial graphs

Abstract

This is a short review article on invariants of spatial graphs, written for "A Concise Encyclopedia of Knot Theory" (ed. Adams et. al.). The emphasis is on combinatorial and polynomial invariants of spatial graphs, including the Alexander polynomial, the fundamental quandle of a graph, and the Yamada polynomial.