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arXiv · 1811.06273

On Infinite Prefix Normal Words

Ferdinando Cicalese·Zsuzsanna Lipták·Massimiliano Rossi
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Abstract

Prefix normal words are binary words that have no factor with more $1$s than the prefix of the same length. Finite prefix normal words were introduced in [Fici and Lipták, DLT 2011]. In this paper, we study infinite prefix normal words and explore their relationship to some known classes of infinite binary words. In particular, we establish a connection between prefix normal words and Sturmian words, between prefix normal words and abelian complexity, and between prefix normality and lexicographic order.

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Ferdinando Cicalese, Zsuzsanna Lipták, Massimiliano Rossi. 2021-05-28. On Infinite Prefix Normal Words. https://doi.org/10.1016/j.tcs.2021.01.015

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