# Improved bound for the dimension of posets of treewidth two

## TL;DR

This paper provides a significantly simplified proof that posets with cover graphs of treewidth two have a maximum dimension of 12, improving upon the previous bound of 1276.

## Contribution

The paper introduces a concise and simpler proof establishing a tight upper bound of 12 for the dimension of posets with cover graphs of treewidth two.

## Key findings

- Dimension of such posets is at most 12
- Simpler proof compared to previous complex proof
- Improves the known upper bound from 1276 to 12

## Abstract

Joret et al. proved that posets with cover graphs of treewidth at most 2 have dimension at most 1276. Their proof is long and very complex. We give a short and much simpler proof that the dimension of such posets is at most 12.