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arXiv · 1506.03562

Words with the Maximum Number of Abelian Squares

Gabriele Fici·Filippo Mignosi
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Abstract

An abelian square is the concatenation of two words that are anagrams of one another. A word of length $n$ can contain $\Theta(n^2)$ distinct factors that are abelian squares. We study infinite words such that the number of abelian square factors of length $n$ grows quadratically with $n$.

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Gabriele Fici, Filippo Mignosi. 2015-06-11. Words with the Maximum Number of Abelian Squares. https://arxiv.org/abs/1506.03562

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