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arxiv: 1802.04481 · v1 · pith:V5UVG2FUnew · submitted 2018-02-13 · 🧮 math.CO

Solved and unsolved problems about abelian squares

Jamie Simpson This is my paper
classification 🧮 math.CO
keywords abelianproblemssquaresalphabetsdiscussknownnumberopen
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We present and discuss a number of known results and open problems abelian squares in words on small alphabets.

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  1. Binary Words Containing Few Abelian Squares

    math.CO 2026-04 conditional novelty 6.0

    Binary words are conjectured to contain at least floor(n/4) abelian squares, with the bound proven in special cases and candidate minimal words constructed for every Parikh vector.