There are k-uniform cubefree binary morphisms for all k >= 0

Details There are k-uniform cubefree binary morphisms for all k >= 0 There are k-uniform cubefree binary morphisms for all k >= 0

2008-12-24

arxiv.org/abs/0812.4470v1

Mathematics

Combinatorics

5 pages

Scientific paper

A word is cubefree if it contains no non-empty subword of the form xxx. A
morphism h : Sigma^* -> Sigma^* is k-uniform if h(a) has length k for all a in
Sigma. A morphism is cubefree if it maps cubefree words to cubefree words. We
show that for all k >= 0 there exists a k-uniform cubefree binary morphism.

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