Title
Avoidability of formulas with two variables.
Abstract
In combinatorics on words, a word w over an alphabet $$\\varSigma $$ is said to avoid a pattern p over an alphabet $$\\varDelta $$ of variables if there is no factor f of w such that $$f=hp$$ where $$h\\,{:}\\,\\varDelta ^*\\rightarrow \\varSigma ^*$$ is a non-erasing morphism. A pattern p is said to be k-avoidable if there exists an infinite word over a k-letter alphabet that avoids p. We consider the patterns such that at most two variables appear at least twice, or equivalently, the formulas with at most two variables. For each such formula, we determine whether it is 2-avoidable.
Year
DOI
Venue
2016
10.1007/978-3-662-53132-7_28
Electr. J. Comb.
Keywords
DocType
Volume
Word,Pattern avoidance
Conference
24
Issue
ISSN
ISBN
4
1077-8926
978-3-662-53131-0
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Pascal Ochem125836.91
Matthieu Rosenfeld200.34