Antisquares and Critical Exponents

The (bitwise) complement $\overline{x}$ of a binary word $x$ is obtained by changing each $0$ in $x$ to $1$ and vice versa. An $\textit{antisquare}$ is a nonempty word of the form $x\, \overline{x}$. In this paper, we study infinite binary words that do not contain arbitrarily large antisquares. For...

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Bibliographic Details
Main Authors: Aseem Baranwal, James Currie, Lucas Mol, Pascal Ochem, Narad Rampersad, Jeffrey Shallit
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2023-09-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/10063/pdf