RAIRO-Theor. Inf. Appl.
Volume 42, Number 3, July-September 2008JM'06
|Page(s)||477 - 480|
|Published online||03 June 2008|
Dejean's conjecture and letter frequency
LIF, CNRS, Université de Provence, CMI, 39 rue Joliot-Curie, 13453 Marseille, France;
2 LRI, CNRS, Université Paris-Sud 11, Bât 490, 91405 Orsay Cedex, France; firstname.lastname@example.org
We prove two cases of a strong version of Dejean's conjecture involving extremal letter frequencies. The results are that there exist an infinite -free word over a 5 letter alphabet with letter frequency and an infinite -free word over a 6 letter alphabet with letter frequency .
Mathematics Subject Classification: 68R15
© EDP Sciences, 2008
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