Paper Info
Title
Doubled Patterns are 3-Avoidable.
Abstract
In combinatorics on words, a word w over an alphabet Sigma is said to avoid a pattern p over an alphabet Delta if there is no factor f of w such that f = h(p) where h : A* -> Sigma* 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. A pattern is said to be doubled if no variable occurs only once. Doubled patterns with at most 3 variables and doubled patterns with at least 6 variables are 3 -avoidable. We show that doubled patterns with 4 and 5 variables are also 3 -avoidable.
Year
Venue
Keywords
2016
ELECTRONIC JOURNAL OF COMBINATORICS
Word,Pattern avoidance
Field
DocType
Volume
Discrete mathematics,Combinatorics,Existential quantification,Mathematics,Morphism,Combinatorics on words,Alphabet
Journal
23.0
Issue
ISSN
Citations 
1.0
1077-8926
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Pascal Ochem125836.91