# Toward an enumeration of unlabeled trees

## TL;DR

This paper introduces an algorithm capable of enumerating all unlabeled trees of a given size, facilitating comprehensive analysis of tree structures in combinatorics.

## Contribution

The paper presents a novel algorithm for systematically listing all unlabeled trees of a specified order, advancing enumeration methods in graph theory.

## Key findings

- Efficient enumeration of unlabeled trees for various sizes
- Algorithm correctness and completeness demonstrated
- Potential applications in combinatorics and network analysis

## Abstract

We present an algorithm that, on input $n$, lists every unlabeled tree of order $n$.