A Classical Algorithm Which Also Beats $\frac{1}{2}+\frac{2}{\pi}\frac{1}{\sqrt{D}}$ For High Girth MAX-CUT

TL;DR

This paper presents a straightforward classical algorithm, based on a modification of the Gaussian wave process, that surpasses a specific performance bound for high girth MAX-CUT problems.

Contribution

It introduces a simple, provably effective classical algorithm that improves upon existing bounds for high girth MAX-CUT.

Findings

Achieves performance better than 1/2 + (2/π)(1/√D) for high girth MAX-CUT.

Uses a simple modification of the Gaussian wave process.

Provides a provable performance guarantee.

Abstract

We give a simple classical algorithm which provably achieves the performance in the title. The algorithm is a simple modification of the Gaussian wave process.