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Journal articles
Doubled patterns are 3-avoidable
Abstract : In combinatorics on words, a word w over an alphabet Σ is said to avoid a pattern p over an alphabet ∆ if there is no factor f of w such that f = h(p) where h : ∆ * → Σ * 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 patterns with at least 6 variables are 3-avoidable. We show that doubled patterns with 4 and 5 variables are also 3-avoidable.
Keywords :
Pattern avoidance
Word
Cited literature [13 references]
https://hal-lirmm.ccsd.cnrs.fr/lirmm-01375763
Contributor : Pascal Ochem <>
Submitted on : Monday, October 3, 2016 - 2:40:25 PM
Last modification on : Wednesday, November 4, 2020 - 6:08:04 PM
Long-term archiving on: : Friday, February 3, 2017 - 1:59:02 PM
Contributor : Pascal Ochem <>
Submitted on : Monday, October 3, 2016 - 2:40:25 PM
Last modification on : Wednesday, November 4, 2020 - 6:08:04 PM
Long-term archiving on: : Friday, February 3, 2017 - 1:59:02 PM
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motif45.pdf
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