Skip to main content
Download PDF
- Main
No extremal square-free words over large alphabets
© 2022 by the author(s). Learn more.
Abstract
A word is square-free if it does not contain any square (a word of the form \(XX\)), and is extremal square-free if it cannot be extended to a new square-free word by inserting a single letter at any position. Grytczuk, Kordulewski, and Niewiadomski proved that there exist infinitely many ternary extremal square-free words. We establish that there are no extremal square-free words over any alphabet of size at least \(17\).
Mathematics Subject Classifications: 05A05, 05D10, 68R15
Main Content
For improved accessibility of PDF content, download the file to your device.
If you recently published or updated this item, please wait up to 30 minutes for the PDF to appear here.
Enter the password to open this PDF file:
File name:
-
File size:
-
Title:
-
Author:
-
Subject:
-
Keywords:
-
Creation Date:
-
Modification Date:
-
Creator:
-
PDF Producer:
-
PDF Version:
-
Page Count:
-
Page Size:
-
Fast Web View:
-
Preparing document for printing…
0%