# Abelian-square factors and binary words

## TL;DR

This paper confirms a conjecture related to the structure of Abelian-square factors within binary words, advancing understanding in combinatorics on words.

## Contribution

It proves a conjecture by Fici and Mignosi about Abelian-square factors in binary words, providing new insights into their combinatorial properties.

## Key findings

- Conjecture by Fici and Mignosi is proven.
- Enhanced understanding of Abelian-square factors in binary words.
- Contributes to combinatorics on words theory.

## Abstract

In this work, we affirm the conjecture proposed by Gabriele Fici and Filippo Mignosi at the 10th Conference on Combinatorics on Words.