Dejean's conjecture and letter frequency

We prove two cases of a strong version of Dejean's conjecture involving extremal letter frequencies. The results are that there exist an infinite " 5 4 + " -free word over a 5 letter alphabet with letter frequency 1 6 and an infinite " 6 5 + " -free word over a 6 letter alphabet with letter frequency 1 5 .

• Type: Journal
• Year: 2008
• Where: ITA
• Authors: Jérémie Chalopin, Pascal Ochem
• Keywords: -free Word, Communications, Extremal Letter, ITA 2008, Letter Alphabet