An updated survey on 2-Factors of Regular Graphs

TL;DR

This survey reviews recent research on the structure of 2-factors in regular graphs, highlighting key findings and developments in understanding their properties and existence conditions.

Contribution

It provides a comprehensive summary of recent advances in the study of 2-factors in regular graphs, consolidating various research results.

Findings

Summarizes key structural properties of 2-factors in regular graphs

Highlights recent results on existence conditions for 2-factors

Provides an overview of research progress in the field

Abstract

A 2-factor of a graph $G$ is a 2-regular spanning subgraph of $G$. We present a survey summarising results on the structure of 2-factors in regular graphs, as achieved by various researchers in recent years.