Pattern Avoidability with Involution

Bastian Bischoff
(Institute for Formal Methods in Computer Science, Universität Stuttgart)
Dirk Nowotka
(Institute for Formal Methods in Computer Science, Universität Stuttgart)

An infinte word w avoids a pattern p with the involution t if there is no substitution for the variables in p and no involution t such that the resulting word is a factor of w. We investigate the avoidance of patterns with respect to the size of the alphabet. For example, it is shown that the pattern a t(a) a can be avoided over three letters but not two letters, whereas it is well known that a a a is avoidable over two letters.

In Petr Ambrož, Štěpán Holub and Zuzana Masáková: Proceedings 8th International Conference Words 2011 (WORDS 2011), Prague, Czech Republic, 12-16th September 2011, Electronic Proceedings in Theoretical Computer Science 63, pp. 65–70.
Published: 17th August 2011.

ArXived at: http://dx.doi.org/10.4204/EPTCS.63.10 bibtex PDF
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