Planar graph with twin-width seven

TL;DR

This paper constructs a specific planar graph demonstrating that twin-width can reach as high as seven, providing insights into the complexity of planar graphs.

Contribution

The paper introduces a novel planar graph with twin-width exactly seven, advancing understanding of twin-width bounds in planar graphs.

Findings

Existence of a planar graph with twin-width seven

Twin-width can be as high as seven in planar graphs

Provides a new example for twin-width bounds

Abstract

We construct a planar graph with twin-width equal to seven.